Question

1. if one leg of a right - triangle is 5 units and the hypotenuse is 13 units, what is the length of the other leg?

a. 10 units
b. 12 units
c. 8 units
d. 15 units

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 5\), \(c=13\), and we want to find \(b\). The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), so \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

\(b^{2}=13^{2}-5^{2}=169 - 25=144\).

Step3: Solve for \(b\)

\(b=\sqrt{144}=12\).

Answer:

B. 12 units