Question

question 7 (1 point)
the height is
17 in.
a = 60 in.²
15 in.

Explanation:

Step1: Recall the area formula for a right - triangle

The area formula for a triangle is \(A=\frac{1}{2}\times base\times height\). In a right - triangle, two sides (base and height) are perpendicular to each other. Here, if we assume the base \(b = 15\) in and the area \(A=60\) in², and the height is \(h\).

Step2: Substitute the values into the formula

We know that \(A=\frac{1}{2}\times b\times h\). Substituting \(A = 60\) and \(b=15\) into the formula:

$$60=\frac{1}{2}\times15\times h$$

First, simplify the right - hand side: \(\frac{1}{2}\times15=\frac{15}{2}\). So the equation becomes \(60=\frac{15}{2}h\).

Step3: Solve for \(h\)

Multiply both sides of the equation by \(\frac{2}{15}\) to isolate \(h\).

$$h = 60\times\frac{2}{15}$$

$$h=\frac{120}{15}$$

$$h = 8$$

Answer:

\(8\) in