# In a right-angled triangle, the leg and hypotenuse are 12 and 20, respectively. Find the leg of this triangle.

September 15, 2021 | education

| According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the legs. Based on the data presented here, the square of the leg is equal to the square of the hypotenuse minus the square of the leg we know. 20 squared is 400 and 12 squared is 144. 400-144 = 256. The square of the leg is 256. To find out the length of the leg, you need to extract the square root of 256. We get 16.

Answer: the leg length is 16.

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