What is the measure of the hypotenuse?

13.

Step-by-step explanation:

This triangle applies a theorem for only right triangles.

It is called the Pythagorean Theorem

It is a squared plus b squared = c squared.

C is your hypotenuse

A is one of the legs of the triangle

B is the other leg.

Plug 5 and 12 to the theorem. They are your legs, so 5 squared plus 12 squared= c squared.

5 squared is 25 and 12 squared is 144.

Add 144 plus 25 equals 169.

Don't get fooled with 169 because that is c squared= 169. You can still simplify c. Do the square root of both sides. the squared root of c squared is c because square roots and exponents are inverse operations. The square root of 169 is 13. Therefore, c=13.

Hope this helps!

sorry i need the points

step-by-step explanation:

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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.