Question

What is the length of the hypotenuse of right triangle with sides that measure 7 cm and 24 cm

Answer 1

In order to find the length of the hypotenuse, we need to use Pythagorean's Theorm.

This theorm states that $a^2+b^2=c^2$

a and b are sides, and c is the hypotenuse

So, we jsutt have to plug our values in

$7^2+24^2=c^2\\49+576=c^2\\625=c^2\\\sqrt{625}=\sqrt{c^2}\\25 = c$

The Hypotenuse is 25 cm long

Answer 2

Answer: The length of the hypotenuse is 25 cm.

Step-by-step explanation:

1. To solve this exercise you must apply the Pythagorean Theorem, which is:

$a=\sqrt{b^{2}+c^{2}}$

Where $a$ is the hypotenuse, and $b$ and $c$ are the other sides of the triangle.

2. Then, when you substitute the values given in the problem into the formula shown above, you obtain that the length of the hypotenuse is:

 $a=\sqrt{(24cm)^{2}+(7cm)^{2}}$

 $a=25cm$