Question

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

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). Here, \(A = 60\space in^{2}\), and the base is \(15\space in\).

Step2: Solve for the height \(h\)

We know \(A=\frac{1}{2}\times b\times h\). 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 \(60=\frac{15}{2}h\).
Then, solve for \(h\) by multiplying both sides of the equation by \(\frac{2}{15}\):

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

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

$$h = 8$$

Answer:

\(8\space in\)