To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. The 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.
In this case, the lengths of both legs are given as 12 cm. Therefore, we can calculate the length of the hypotenuse as follows:
Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 12^2 + 12^2
Hypotenuse^2 = 144 + 144
Hypotenuse^2 = 288
Taking the square root of both sides, we get:
Hypotenuse = √288
Rounding to the nearest hundredth, we find that the length of the hypotenuse is approximately 16.97 cm.
Therefore, the correct answer is:
16.97
If 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)
Responses
17.0
17.0
16.97
16.97
288
288
Not enough information is given to solve the problem.
Not enough information is given to solve the problem.
1 answer