Does a triangle with side lengths 7, 80, and 31 from a right triangle?
Use the drop-down menus to answer the following questions.
What is the square of the longest side?
What is the sum of the squares of the two shorter sides?
Is the triangle a right triangle?

What is the square of the longest side?

80

What is the sum of the squares of the two shorter sides?

80

Is the triangle a right triangle?

Yes, the square of the longest side equals the sum of the squares of the shorter sides

What is the square of the longest side?

80

What is the sum of the squares of the two shorter sides?

80

Is the triangle a right triangle?

yes the square of the longest side equals the sum of the squares of the shorter sides.

Step-by-step explanation: i got it right on edg-enuity

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9