Respuesta :

Hello!

This is a right triangle therefore we can use the Pythagorean theorem.

The Pythagorean theorem is [tex] a^{2} + b^{2} = c^{2} [/tex]

c is the hypotenuse which is the side across the right angle

a and b are the other sides

Put in the values we know

[tex] 24^{2} + 7^{2} = c^{2} [/tex]

square the numbers

[tex]576 + 49 = c^{2} [/tex]

Add

[tex]625 = c^{2} [/tex]

Take the square root of 625

25 = c

The answer is 25

Hope this helps!