The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

The Coordinates Of ABC Are A(-3, 2), B(5, 8) & C(11, 0). Which Type Of Triangle Is ABC? Select All

Answers

Answer 1

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]AB=\sqrt{(5-(-3))^2+(8-2)^2}[/tex]

[tex]AB=\sqrt{(8)^2+(6)^2}[/tex]

[tex]AB=\sqrt{64+36}[/tex]

[tex]AB=\sqrt{100}[/tex]

[tex]AB=10[/tex]

Similarly,

[tex]BC=\sqrt{(11-5)^2+(0-8)^2}[/tex]

[tex]BC=\sqrt{(6)^2+(8)^2}[/tex]

[tex]BC=\sqrt{36+64}[/tex]

[tex]BC=\sqrt{100}[/tex]

[tex]BC=10[/tex]

And,

[tex]AC=\sqrt{(11-(-3))^2+(0-2)^2}[/tex]

[tex]AC=\sqrt{(14)^2+(-2)^2}[/tex]

[tex]AC=\sqrt{196+4}[/tex]

[tex]AC=\sqrt{200}[/tex]

[tex]AC=10\sqrt{2}[/tex]

Two sides of the triangle are equal, i.e., [tex]AB=BC[/tex]. So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

[tex]AB^2+BC^2=10^2+10^2[/tex]

[tex]AB^2+BC^2=100+100[/tex]

[tex]AB^2+BC^2=200[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.


Related Questions

Simplify:
(31 - 11) + 5+2x4
Submit

Answers

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Answer: 33

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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please help dont need working out thanks :)​

Answers

Answer:

66 cm^2

Step-by-step explanation:

A news channel on cable T.V. polled politicians on an issue to find out who agreed with a court decision. This is the graphic they used in their report.
Results by Party
A graph titled Results by Party has Political party on the x-axis, and Percent who agreed on the y-axis, from 53 to 63 in increments of 2. Democrats, 62; Republicans, 54; Independents, 54.
Source: mediamatters.org

What makes this graph misleading?

a.
The horizontal scale only shows three parties. It needs to show every party.
b.
The vertical scale is too broad. It needs to focus in on a narrower range.
c.
The horizontal scale exaggerates the differences between the parties.
d.
The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer: d.  The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.

Step-by-step explanation:

The vertical scale is indeed too narrow. It needs to have a wider range that will enable a person who is looking at the graph, better compare the results shown because the magnitude of the number will be more apparent.

A range such as 0 to 100 would be ideal for this and would present the information in such a way that when a person looks at the graph, they understand the relative difference between the percentages who agreed with the court decision.

¿en q caso la canica recorre mayor distancia?​

Answers

Una canica moviéndose por un pavimento no es un objeto que desliza sobre la superficie, en realidad gira. ... Ahora pasamos a un suelo enlosado, con una rugosidad evidente, aún así el rozamiento es menor que antes y por eso la canica recorre una distancia mayor.

complete the table, vertex, and max or min. <3

Answers

Answer:

Step-by-step explanation:

The function describes a parabola

for find the value of y we have to substitute the value of x in the function

x = -1

y = (-1-2)^2 =9

(-1;9)

x = 0

y = (0-2)^2 = 4

(0;4)

x = 1

y = (1-2)^2= 1

(1;1)

x = 2

y = (2-2)^2 = 0

(2;0)

x= 3

y = (3-2)^2 = 1

(3;1)

for the second part we can solve the square of the binomial

y = x^2 -4x + 4

direction of opening : we have to see if the term that multiply x^2 is positive or negative. In this case is not expessed so it is 1, a positive number.

So the direction of opening is : upwards

line of symmetry: -b/2a where b is the term that multiply x and a the term that multiply x^2

x = 4/2 = 2

vertex: the x - coordinate of the vertex is the same of the line of symmetry

so x = 2

for find the y - coordinate we have to substitute the value of x in the equation

y = 4 - 8 + 4 = 0

vertex = (2;0)

the parabola has an upwards direction of opening so it has a point of minimum that is the vertex itself.

minimum of 0

Name an angle of

A) 40°

Answers

Answer:

acute angle

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

That is an acute angle

Jen is in charge of the set design for her high school's rendition of "Romeo and Juliet". One pint of paint covers 80 square feet. How many pints will she need to buy of each color if the roof and tower each need 3 coats of paint?

Hint: The smallest size she can purchase is 1 pint.

Answers

Um I really don’t understand this one

Answer:

yellow pint is 1 and blue pint is 3

Step-by-step explanation:

What's the Lateral Surface Area?
What's the Surface area

Answers

Answer:

The lateral surface of an object is all of the sides of the object , except/excluding its base and top.

I think I am correct I might sure I read it somewhere

by this explanation I guess you know your answer

have a nice day

#Captainpower

Directions : Find the missing side. Identify the Trig function you would use. Write the ratio. Then solve and round your answer to the nearest tenth.

Will give brainliest please help.

Answers

2) cos(angle) = adjacent leg / hypotenuse

cos(73) = x/6

x = cos(73) * 6

x = 1.8

3) tan(angle) = opposite/adjacent

tan(24) = x/12

x = tan(24) * 12

x = 5.3

4) tan(angle) = opposite/adjacent

tan(37) = x/12

x = tan(37) *12

x = 9.0

Please help ...................!

Answers

Don’t go to that link it’s not going to give you the answer

Congratulations! You won a free grill in a sweepstakes! You know that you can fit a rectangular grill in your truck that has a width of 2 1/2 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.

Answers

Answer: 20 feet perimeter is the largest allowed

Step-by-step explanation:  width=2.5 length=no more than 3x2.5

so find longest possible length allowed...

2.5x3=7.5

calculate largest perimeter allowed...

2(7.5+2.5)=20

the number of chirps made by a cricket varies directly as the temperature. If at 12 degrees a cricket chirps 30 times per minute, how many times per minute will the cricket chirp at 20 degrees

Answers

Answer:

50 i think?

Step-by-step explanation:

30 divided by 12 is 2.5, 2.5 x 20 equals 50

Can anyone help me on this math test real quick here is one of the questions!!

Answers

Answer:

D. 9/16

Step-by-step explanation:

3/4*3/4=9/16

Answer:

9/16

Hope this helped you!

I need help with number 4, thank you

Answers

Answer:

126

Step-by-step explanation:

In number 4 the given figure is a parallelogram,

So,

Base of the parallelogram = 14

Height of the parallelogram = 9

Therefore,

Area of the parallelogram = Base × Height

= 14 × 9

= 126

Hence, area of figure in question no. 4 is 126 (Ans)

Express ln 32-ln 8 as a single logarithm

Answers

Answer:

its ln 4, A as seen in the image.  

I might be wrong sry?

Find the length of the third side. If necessary, round to the nearest tenth. 3 6​

Answers

Answer: 6.7

Step-by-step explanation:

a^2+b^2=c^2

36+9=45

Sqrt of 45 approx 6.7

In 1998, Patty Hamburger invested $2,500 into a mutual fund. The investment grows at an annual
rate of 1.5%
What will the value be in 2015 if the initial investment is compounded daily?
USING LOGS
HELP ASAP

Answers

Answer: $3,178.11

Step-by-step explanation:

A= P (1+r/n)^nt

A= 2500 (1+ 0.015/365)^16X365

A=2500(1.27)^5840

solve the following quadratic by factoring: 6x^2-12x=0

Answers

Answer:

X=0,-2

Step-by-step explanation:

6 x ( x + 2 ) = 0 Divide each term in 6 x ( x + 2 ) = 0 by 6 . 6 x ( x + 2 ) 6 = 0 6 Cancel the common factor of 6 .  x ( x + 2 ) = 0 6 Divide 0 by 6 . x ( x + 2 ) = 0 If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0 . x = 0 x + 2 = 0 Set the first factor equal to 0 . x = 0 Set the next factor equal to 0 and solve. Tap for more steps... x = − 2 The final solution is all the values that make 6 x ( x + 2 ) 6 = 0 6 true. x = 0 , − 2

The 20% tip on a $230.11 meal
Please help

Answers

Answer:

46 Dollars

Step-by-step explanation:

230.11 times .2= 46.022

Maisy hiked for 5 hours and burned 750 calories. She wants to find out how many calories she burned per hour, so she wrote the equation 5x=750 , where x represents the number of calories Maisy burned per hour. How many calories did Maisy burn in one hour?

Answers

Answer:

x = 150

Step-by-step explanation:

Given that,

The equation that is used to find out how many calories she burned per hour, the equation is as follows :

5x = 750

We need to find how many calories did Maisy burn in one hour.

For 1 hour use unitary method such that,

x = (750/5)

x = 150

So, she can 150 calories in one hour.

ABC News reported graduation rates have increased 35%. Which fraction is equivalent to this amount of increase?

Answers

Answer:

27/20 or [tex]1\frac{7}{20}[/tex]

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction =  

4 is the numerator while 5 is the denominator

If graduation rates rose by 35 percent, the increase would be 100% + 35%

Since the increase is in percentage form, to convert to fraction, divide the total increase by 100.

[tex]\frac{135}{100}[/tex]

to express in its simplest form, divide both numerator and the denominator by 5

[tex]\frac{27}{20}[/tex]

the above fraction can also be expressed as a mixed fraction = 1 [tex]\frac{7}{20}[/tex]

The student did this problem wrong, explain what is wrong and fix their mistake to give me the correct answer.

Please help me haha​

Answers

Answer:

GK parallel to HJ

F is the midpoint

GF =FJ (bisectors)

Answer:

haha

Step-by-step explanation:

Rita has a home-based business making and selling scented soaps. She intially spent $52 to
purchase soap making equipment, and the materials for each kilogram of soap cost $7. Rita
sells the soap for $33 per kilogram. Eventually, she will sell enough soap to cover the cost of
the equipment. What will be Rita's total sales and costs be? How much soap will that be?
Rita's sales and costs will both be
once she sells
kilograms of soap.
Submit
Talerle it out

Answers

Answer:

26

Step-by-step explanation:

52+7= 59

59-33= 26

$26

PLEASE HELP GUYS I NEED IT BADDDD

Answers

Answer:

its 110 u have to do 11x10 i think if i remember

Step-by-step explanation:

A spa employs 54 people. Management wants to gather data about current and future services for clients. A random sample of 22 employees was selected to receive an anonymous survey. Of those selected, 16 completed the survey.

In this scenario, the population is
a. 52 employees
b. 22 employees
c. 16 employees
d. management

In this scenario, the sample is
a. 52 employees
b. 22 employees
c. 16 employees
d. management

Answers

Answer:

c

Step-by-step explanation:

i choose (c) because that the answer

Answer:

Step-by-step explanation:

1. A and 2. C

2. Which number line shows all the values of x that make the inequality -3x+1​

Answers

Answer:

Option. B

Step-by-step explanation:

QUESTION 1
Find the slope of a line through the points (7, –8) and (–5, –7).

a -12
b-15/2
c -2/15
d -1/12

Answers

Answer:

D

Step-by-step explanation:

Slope = y2-y1/x2-x1

(7,-8) = (x1,y1)

(-5,-7) = (x2,y2)

Slope = (-7+8)/(-5-7)

          = 1/-12

2a−1/2
please help me :(

Answers

Answer:

this is unsolvable i think

Step-by-step explanation:

Help me please!!!!!!!

Answers

H because if you change them all to decimals, it fits the criteria

Find the value of f(3) for the function f(x) = -4(x+1)-2

Answers

Answer:

f(3) = - 18

Step-by-step explanation:

To evaluate f(3) , substitute x = 3 into f(x) , that is

f(3) = - 4(3 + 1) - 2 = - 4(4) - 2 = - 16 - 2 = - 18

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