Question

if the legs of a right triangle are 8 and 10, find the length of the hypotenuse

Answer 1

Hello there!

You need to use the Pythagorean theorem.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

164 = c²

c = √164

 c = 2√41

Decimal is 12.8

Thus, the length of the hypotenuse is 12

Let me know if you have any misunderstanding about the answer!

As always, I am here to help!

Answer 2

Hello!

We can use Pythagoras' Theorem to solve this problem. The Pythagorean Theorem:

a² + b² = c², where c is the hypotenuse.

Your two legs measure 8 and 10; substitute them into the theorem:

a² + b² = c²
8² + 10² = c²
64 + 100 = c²
164 = c²
12.81 ≈ c

Answer:
The length of the hypotenuse is approximately 12.81 units.