If a right triangle has legs that are both 12 cm long how long is the hypotenuse round to the nearest hundredth
Using the Pythagorean theorem, we can find the length of the hypotenuse (c).
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore, we can use this formula:
c^2 = a^2 + b^2
Given that both legs are 12 cm long, we can substitute:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides to solve for c:
c = √288
Using a calculator, we find that √288 ≈ 16.97.
Therefore, the length of the hypotenuse (c) rounded to the nearest hundredth is 16.97 cm.