Ever right triangle has legs that are both 12 cm long how long is the hypotension? the answer to the nearest hundredth

Answer 1

Using the Pythagorean theorem, we can find the length of the hypotenuse.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's call the length of each leg "l", which is 12 cm in this case.

According to the theorem,
Hypotenuse^2 = Leg^2 + Leg^2
Hypotenuse^2 = 12^2 + 12^2
Hypotenuse^2 = 144 + 144
Hypotenuse^2 = 288

Taking the square root of both sides to find the length of the hypotenuse, we get:
Hypotenuse = √288

Calculating this square root to the nearest hundredth gives us:
Hypotenuse ≈ 16.97 cm

Therefore, the length of the hypotenuse is approximately 16.97 cm.