The length of the hypotenuse of a right triangle can be found using the Pythagorean Theorem, which 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 two legs (a and b).
In this case, both legs are 12 cm long, so using the Pythagorean Theorem:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
Taking the square root of both sides:
c ≈ √288
c ≈ 16.97 cm
Rounding to the nearest hundredth:
c ≈ 17 cm
Therefore, the length of the hypotenuse is approximately 17 cm.
f a right triangle has legs that are both 12 cm long, how long is the hypotenuse? Round the answer to the nearest hundredth.(1 point)
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