Answer:
25 centimeters
Step-by-step 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
