Question

Aright triangle has leg lengths of 7 centimeters and 24 centimeters.

What is the length of the triangle's hypotenuse?

Answer 1

Use the pythagorean theorem.

A^2 + b^2 =c^2
=
49+576=c^2
625=c^2
c= sqrt 625
c=25

Answer 2

25 centimeters

Explanation:

We can use the Pythagorean Theorem to find the length of a missing side of a right triangle

Pythagorean Theorem: a² + b² = c²

where a and b = legs and c = hypotenuse

For the following problem we are given two legs and need to find the hypotenuse, to do so we simply plug in the length of the legs and solve for the hypotenuse or "c"

Leg lengths = 7 and 24

So a = 7 and b = 24

So we plug in 7 and 24 for a and b and solve for c

a² + b² = c²

a = 7

b = 24

(7)² + (24)² = c²

simplify exponents

49 + 576 = c²

add 59 and 576

625 = c²

take the square root of both sides

√625 = 25

√c² = c

we're left with c = 25

So the length of the hypotenuse would be 25 centimeters