To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which 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 the legs are both 12 cm. Let's call the length of the hypotenuse c.
Using the Pythagorean theorem, we have:
c^2 = 12^2 + 12^2
c^2 = 144 + 144
c^2 = 288
To find the length of c, we take the square root of 288:
c = √288
c ≈ 16.97
Therefore, the length of the hypotenuse is approximately 16.97 cm.
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
1 answer