Question

question 2
10 pts
g.gsr.6.3 (lc)
a leg of a right triangle is 6 inches and the hypotenuse is 10 inches. find the length of the other leg.
8 inches
6 inches
5.5 inches
7 inches
question 3
10 pts
g.gsr.6.3 (mc)

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a\) and \(b\) are legs. Let \(a = 6\), \(c = 10\), find \(b\).

Step2: Rearrange formula for \(b\)

\(b^2 = c^2 - a^2\)

Step3: Substitute values

\(b^2 = 10^2 - 6^2 = 100 - 36 = 64\)

Step4: Solve for \(b\)

\(b = \sqrt{64} = 8\)

Answer:

A. 8 inches