Question

The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the

window’s height?

Short answer

12 meter is the height of a triangular church window.

Step-by-step solution

Step 1. Given Information.

• The area of a triangular church window is 90 square meters.
• The base of the window is 15 meters.

We want to know height of a triangular church window.

Step 2. Name.

Choose a variable to represent it.

Let h = the height of triangular church window.

Draw the figure and label it with the given information.

Area = 90 sq. in.

Step 3. Translate.

Write the appropriate formula.

$A=\frac{1}{2}\times b\times h$

Substitute in the given information.

$90=\frac{1}{2}\times 15\times h$

Step 4. Solve the equation.90=152×h

Multiply both sides by $\frac{2}{15}$

$$\begin{gathered} \frac{2}{15}\times 90=\frac{2}{15}\times \frac{15}{2}\times h \\ 12=h \end{gathered}$$

Step 5. Check.

$$\begin{gathered} A=\frac{1}{2}\times b\times h \\ A=\frac{1}{2}\times 16\times 12 \\ A=80 \end{gathered}$$

Verified