Question

question 33 of 50 if the length of one leg of a right triangle is 8 and the length of the hypotenuse is 10, what is the length of the other leg? 36 6√6 6

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a,b\) are legs. Let one leg \(a = 8\), hypotenuse \(c = 10\), find \(b\).

Step2: Substitute values into formula

\(8^2 + b^2 = 10^2\) → \(64 + b^2 = 100\)

Step3: Solve for \(b^2\)

\(b^2 = 100 - 64 = 36\)

Step4: Find \(b\)

\(b = \sqrt{36} = 6\)

Answer:

6