Question

1. label the hypotenuse, adjacent side, and opposite side of the given triangle as related to angle a.

Explanation:

Step1: Recall right - triangle side definitions

In a right - triangle, the hypotenuse is the longest side opposite the right - angle. The side adjacent to an angle is the non - hypotenuse side that forms the angle. The side opposite an angle is the side that does not form the angle.

Step2: Identify hypotenuse

For right - triangle \(ABC\) with right - angle at \(C\), the hypotenuse is \(c\) as it is opposite the right - angle \(\angle C\).

Step3: Identify adjacent side to angle \(A\)

The side adjacent to angle \(A\) is \(b\) since it is a non - hypotenuse side that forms angle \(A\).

Step4: Identify opposite side to angle \(A\)

The side opposite to angle \(A\) is \(a\) since it does not form angle \(A\).

Answer:

Hypotenuse: \(c\)
Adjacent side to angle \(A\): \(b\)
Opposite side to angle \(A\): \(a\)