The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: 13.6.7
Triangle 2: 7.8.13
Triangle 3: 10, 11, 12
Triangle 4: 10.9.8

Answers

Answer 1

Answer:

Triangle 1: 13.6.7

Answer 2

None of the triangles are right triangles.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

For a triangle to be a right triangle, the Pythagorean theorem must be satisfied.

So,

Applying the Pythagorean theorem.

Triangle 1:

13, 6, and 7

13² = 6² + 7²

169 = 36 + 49

169 = 85

Not true.

Triangle 2:

7, 8, and 13.

13² = 7² + 8²

169 = 49 + 64

169 = 113

Not true.

Triangle 3:

10, 11,  and 12

12² = 10² + 11²

144 = 100 + 121

144 = 221

Not true.

Triangle 4:

10, 9,  and 8

10² = 9² + 8²

100 = 81 + 64

100 = 145

Not true.

Thus,

None of the triangles are right triangles.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ6


Related Questions

this is a lil hard can i get help?

Answers

Answer:

A. 5+3=3+5

Step-by-step explanation:

The commutative property of addition says that changing the order of numbers does not change the sum. In this case, they both equal 8 even though the numbers are switched.

Which expression has a value of 13?

(20 ÷ 4) − 4 + 3 x 2
(18 ÷ 2) + 6 ÷ 6 + 3
(16 ÷ 4) + 3 x 4 − 1
(10 ÷ 2) − 3 + 4 x 2

Answers

The expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

The PEMDAS rule

In order to calculate the expression, we need to use the PEMDAS rule which states:

P is parenthesisE is exponentM is multiplicationD is DivisionA AdditionS is subtraction

From the question, we are to get the expression equal to 13.

From the given expression,(18 ÷ 2) + 6 ÷ 6 + 3 is equivalent to 13;

(18 ÷ 2) + 6 ÷ 6 + 3

9 + 6  ÷ 6 + 3

9 + 1 + 3

13

Hence the expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

Learn more on expansion here: https://brainly.com/question/26430239

Find the intersection of the circle x² + y2 = 29 and y = x-3 algebraically.

Answers

Answer:

(x=-5 and y =-2) or (x=2 and y=5)

Step-by-step explanation:

i did the math it wasn't that hard

6) Reflection: Across the line x = 1

Answers

Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

The interior angle sum of a convex polygon is 2.520 How many sides does the polygon
have?

Answers

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.

By the end of August, the school counselors had a completed 12 out of every 16 students requested schedule changes. What percentage of the schedule changed had been completed?

Answers

12/16 students is about 80%

There is a line that includes the point (3, 7) and has a slope of 1. What is its equation in
slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

Y=1x+7

Step-by-step explanation:

y=mx+b

m: slope

b: y axis

x + 6 = -6

please help me pls

Answers

x=12
explanation...



6
=
6


6
+
6
=
6
+
6
add both sides to the equation
and then simplify

Please help with math

Answers

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

what do I do and how do I do it ?​

Answers

Answer:

10

Step-by-step explanation:

because it is

Answer:

Step-by-step explanation:

A line is

y=mx+b where m is the slope, however we are told that this is a horizontal line, thus the slope is zero as y does not change, With zero slope y=mx+b becomes

y=b where the constant b is the value of y. We have the point (5,-7) so b=-7 and the line is

y=-7

There are 2 similar rectangles. The perimeter of the large rectangle is 75 meters, The perimeter of the small rectangle is 50 meters. Find the scale factor.​

Answers

Here is my answer. I hope this is helpful.

Grace earned £27,000 last year.
She worked for 32.5 hours a week for 46 weeks.
Calculate her pay per hour.
Give your answer to 2 decimal places.

Answers

Answer:

£18.06

Step-by-step explanation:

The computation of her pay per hour is shown below:

= Total earnings last year ÷ Total number of hours she worked

= £27,000 ÷ (32.5 hours × 46 weeks)

= £27,000 ÷ 1,495 hours

= £18.06

see figure in triangle PQR,ANGLE PQR=90°,segQS seg PR find x,y and z

Answers

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

HELP DUE SOON Which is the better buy?
25 carnival tickets for $30
or
40 carnival tickets for $50

What is the unit rate for the 25 tickets option? *

Answers

The 40
Is better . It’s like your paying 1 for it and the other one maybe like 1.50 or so
The better buy is the 25 for $30.
25 carnival tickets for $30
30/25 = 1.20

40 carnival tickets for $50
50/40 = 1.25
1.20<1.25
Therefore, the 25 for $30 is the better buy.
May I please have brainliest? Hope this helps!! Have a wonderful day!

Hello Brainliest! I need you to help! Thank you Brainliest! (You will get brainliest lol)

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Simplify: 10x+2x-3= 9
A. x=-1
B. x=-2
C. x=1
D. x=2

Answers

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

A line passes through the point (-6, 5) and has a slope of -3.

Write an equation in slope-intercept form for this line.

Answers

Answer:

y

Step-by-step explanation:

y

=

4

x

26

Explanation:

The slope-intercept form of a line is:

y

=

m

x

+

b

where:

m

is the slope of the line

b

is the y-intercept

We are given that

m

=

4

and the line passes through

(

7

,

2

)

.

2

=

4

7

+

b

2

=

28

+

b

b

=

26

Therefore the equation of the line is:

y

=

4

x

26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

PLEASE PLEASE PLEASE
HELP ME!!!!!

Answers

Answer:

3 adjacent

4. complementary

Manuel can mow 2 yards per hour. Let h represent the number of hours. Which equation best represents how long it will take him to mow 30 yards?
A=2h=30
B=30(2)=h
c 30h=2
D h/2=30

Answers

Answer:

2h = 30

Step-by-step explanation:

i hope helper

On a map,1 inch represents 5 miles.joel measure 2 1/2 inches between two cities on the map. how many miles apart are the two cities?

Answers

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Find the value or ratio of the following:​

Answers

Answer:

see below

Step-by-step explanation:

cos  = adj/ hypotenuse

Cos A = 30 /34

Simplifying

Cos A = 15/17

I’m timed plsss answer correctly I’ll mark u brainliest

Answers

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

please help will mark brainlyist

Answers

Answer:

45.5

Step-by-step explanation:

66+3x+8=5x+50

3x+74=5x+50

75=2x+50

2x=25

x=12.5

3×+8=45.5

Find the value of x.
2x
120
70
A. 70
B. 35
C. 25
D. 55

Answers

Answer:

Step-by-step explanation:

120 = 2x + 70

120  - 70 = 2x + 70 - 70

50 = 2x

50/2 = 2x/2

x = 25

What will most banks do about a bounced check?

return a bounced check and assess a charge to your account

send you to jail if you bounce a check

give you a warning

cover a bounced check

ANSWER ASAP!!! THIS IS QUESTION 17 CONSUMER MATH

Answers

The first one, return your check

What is the reciprocal of 5/4 ​

Answers

Answer:

That would be 4/5. A reciprocal is just a fraction inverted, pretty much.

Make this into a smaller word problem
7.4z−5(−1.6z+2.4)
:D

Answers

Answer: 15.4z- 12


Expand by distributing terms.

2 Remove parentheses.

3 Collect like terms.

4 Simplify.

A car traveled 3600 miles in 3 hours. Find the speed of the car.

Answers

Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

One equation in a system is 4x – 2y = 8. Which equation gives the system no solution?

Answers

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

Find the Value of X.

Answers

Answer: 80

Step-by-step explanation:

If you look at the top left and bottom right corner, you see that they are identical, so basically you would do the same to 80.

Well lets see...

Solution 1. The sum of angles of a quadrilateral is 360˚ 100˚+100˚+80˚=280 degrees 360˚-280˚=80˚.

Solution 2. Opposite angles on a parallelogram are equal so x=80˚.

HOPE THIS HELPED!!!!!!!!!!

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