In a right-angled triangle with hypotenuse 8 and leg 6, the second leg is?
| June 26, 2021 | education
In order to determine the length of the second leg of a right-angled triangle, it is necessary to use the Pythagorean theorem, which states that the square of the leg is equal to the difference between the square of the hypotenuse and the square of the known leg.
Thus, we get:
b ^ 2 = c ^ 2 – a ^ 2 = 8 ^ 2 – 6 ^ 2 = 64 + 36 = 100.
√v2 = √100 = 10.
Answer: The leg length is 10.
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