if a right triangle has legs that are both 12 cm long how long is the hypotenuse round the answer to the nearest hundredth
To find the length of the hypotenuse of a right triangle when the lengths of both legs are given, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, since both legs are 12 cm long, let's denote them as a = 12 cm and b = 12 cm.
c^2 = a^2 + b^2
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of the hypotenuse (c), we take the square root of 288:
c = √288 ≈ 16.97 cm
Rounding to the nearest hundredth, the length of the hypotenuse is approximately 16.97 cm.