On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.

Answers

Answer 1

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

[tex]A=\frac{1}{2} bh[/tex]

b is the base of the triangleh is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]

Substituting the coordinate points:

[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]

Recall that:

[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: https://brainly.com/question/17335144


Related Questions

Can someone help me with this please

Answers

Answer:

r = 59

Step-by-step explanation:

59 + r = 118

59 + r - 59 = 118 - 59

r = 59

Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.

Can a shape have the perimeter be the same as the area?

Answers

Answer:

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Step-by-step explanation:

Answer maybe

Step-by-step explanation:

if rs=44 and qs=68 find qr.

Answers

Answer:

qr=68r/s

Step-by-step explanation:

rs=44

s=44/r

qs=68

q(44/r)=68

44q/r=68

44q=68r

q=68r/44

rs=44

r=44/s

qr=(68r/44)(44/s)=68r/s

make t the subject of the formula in the image

Answers

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

What is 1/2 times 3/4 in fraction form?

Answers

Answer:

3/8 is the answer.

Step-by-step explanation:

1/2 x 3/4=> 3/8

Conclusion:

Therefore, 3/8 is the answer.

Hoped this helped.

3/8 because 1x3 is 3 and 2x4 is 8 there is not simplification. 3/8 or 2 and 1/4

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?

Answers

Answer:

195 square centimeters per second

Step-by-step explanation:

Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second

9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​

Answers

10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​ · 9. 25 students each paid $6.50 to go to the museum ...

good night everyone : )

Answers

Answer:

Good night sagey!!!! sleep well

Heather bought 7 cases of water for $38.50. How much did each case cost?

Answers

38.50/7 = $5.50 for each cases of water Heather bought.

Answer:

$5.50 / case

Step-by-step explanation:

Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case

5/6 times 2/7 and simplified

Answers

Step-by-step explanation:

⅚ײ/7 = 5/21.

hope this helps you.

Answer: it 5/21

Step-by-step explanation:

this is how i got it

5/6×2/7=  

5 × 2/6 × 7= 10/42

= 10 ÷ 2/42 ÷ 2

= 5/21

The triangle shown below has an ar

Answers

Answer:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

[tex] \sqrt{65 } [/tex]

Solve this please do the model

Answers

First solve by converting the mixed fraction into an improper fraction. Multiply 3 by 4 and add it to 3 and put it over 4 to get 15/4. Now multiply 2 by the numerator to get 30/4. Not convert to mixed fraction and you get 7 and 1/2 as an area.

x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?

Answers

Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!

Answer:

x is a function

since it forms a horizontal line it passes the vertical line test and is a function

It is given that 2(3+x)=6+2x this is e so ample of which property

Answers

Answer:

  distributive property

Step-by-step explanation:

The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.

  2(3 +x) = 2(3) +2(x) = 6 +2x

Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28

Answers

28 Is the answer because 7X4=28 & 4X7=28 so

An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s

Answers

Answer: north 80 m/s

Explanation:

speed = distance/time = 56/0.7 = 80

Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north

Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​

Answers

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Answer 1-5 for each! I’ll mark as brainiest

Answers

Answer:

4 because I had this quiz and I got 80

14.06 as a mixed number

Answers

Answer: 14.06 = 143/50
Your welcome

14     3/50

Good luck with the rest... I highly reccomend using Math  way (spell it together)

Answer #3 & #4 with proof please ! I'll give you brainliest :)​

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides , then

2x - 6 + x + 4 + 10 > 50

3x + 8 > 50 ( subtract 8 from both sides )

3x > 42 ( divide both sides by 3 )

x > 14

(4)

The area is calculated by multiplying length and breadth , then

3(4x - 2) < 138 ( divide both sides by 3 )

4x - 2 < 46 ( add 2 to both sides )

4x < 48 ( divide both sides by 4 )

x < 12

bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat

Answers

The answer is 3/8 that he ate

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Tell whether a triangle can have sides with lengths 17, 20, and 4.
true or faulse

Answers

Answer:

True

Step-by-step explanation:

please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?​

Answers

theres question marks where the exponent is supposed to go

are 3x + 2 and 3 (x + 2 ) equal

Answers

Answer:

No

Step-by-step explanation:

Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.

solve pls brainliest

Answers

Scale factor is unit rate :)

-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )

-the answer is: scale drawing

A canoe rental service charges a $30 transportation fee and $15 an hour to
rent a canoe. Write and equation. How long was the canoe rented if a
customer paid $105?

Answers

Answer:

5 hours

Step-by-step explanation:

Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.

Brainliest would be apprappreciated. :-)

Write 51 as a product of primes​

Answers

Answer:

The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.

Determine the measurement of the missing angle

Answers

Answer:

31

Step-by-step explanation:

Find missing angle of lower triangle first

35+23=58

180-58=122

Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122

27+122=149

180-149=31

15% of what is 12? Please

Answers

15*X/100=12

15x=1200

X=1200/15

x=80

See attachment for answer and math work.

Evaluate the expression when B=7 c=-7. c-6b

Answers

Answer:

7 - (6 x 7) = -35

Answer:

-7-6(7)= 35

7 - (6 x 7) = 35

Other Questions
Based on the chart, describe the trends that can be observed in animal and plant fossils as they evolved over time. Use evidence from the chart to support your conclusions. The Senate of Texas charges a tax of twenty cents ($.20) per gallon on the purchase of a gallon of gasoline. Sec.162.102 The United States government imposes an excise tax of 18.4 cents per gallon on the sale of gasoline at the pump. Federal Tax Code The two excerpts above illustrate the principle of F.limited governmentG.federalismH.separation of powers J.checks and balances If b = 25, then b =____ What is |-2.24|?A. -224B. -2.24C. 2.24D. 224 What happens in the inequality when we multiply or divide by a negative number? Which of the following particles are fundamental parts of an atom? Check all that apply.protonneutronOelectron Rename 3/4 and 9/10 using the least common denominator The Civil Rights Act of 1866 was significant becauseI. it meant that Congress rather than the President would determine ReconstructionpoliciesII. it showed President Andrew Johnson's unwillingness to accept the Radical Republican approach to ReconstructionIII. it was the first major piece of legislation that became law over a presidential vetoIV. it guaranteed that former slaves would control the state legislatures in the SouthA. III only B. I, II, and III onlyC. II and IV onlyD. I and III only simplest form of 45/120 Are you a giver?What are the things you like to give?What holiday do you see people GIVING more?If you could bless one person with a gift, who would it be and what would you give Find the equation of the line that has a slopeof -5 and passes through the point (-4, 2).Write the equation in point-slope form. write a topic on Social subject. What was one way the role of women in society changed during the 1920s? A(n) 1700 kg car is moving along a level road at 21 m/s. The driver accelerates, and in the next 10 s the engine provides 22000 J of additional energy. If 3666.67 J of this energy must be used to overcome friction, what is the final speed of the car What was significant about Jefferson's 1801 inaugural address?A. It was used to suggest that political parties were bad for the nation.B. It was used to call for a more fair election process.C. It was used to explain why the Federalists were bad leaders.D. It was used to unify the nation. One pager assignment for foundation of the American identity is this correct ? if not whats the correct answer? Which properties to evaluate 7/5 (1/4 divided by 7/4) (-10) Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units. What are some popular Ice Cream flavors in spanish ? Name 5 flavors. DO NOT use translators.