Question

in a 30° - 60° - 90° triangle, if the hypotenuse is 9 inches, find the side opposite the 30° angle. round your answer to the tenths place.

Explanation:

Step1: Recall the property of 30-60-90 triangle

In a \(30^{\circ}-60^{\circ}-90^{\circ}\) triangle, the side opposite the \(30^{\circ}\) angle (\(a\)) is half of the hypotenuse (\(c\)). The formula is \(a=\frac{c}{2}\).

Step2: Substitute the value of hypotenuse

Given \(c = 9\) inches. Substitute \(c\) into the formula: \(a=\frac{9}{2}=4.5\)

Answer:

\(4.5\)