Chapter 2: Q. 2.63 (page 135)

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

Expert verified

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 $\frac{2}{15}$

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

Step 5. Check.

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

Verified

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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

Step by step solution

Step 1. Given Information.

Step 2. Name.

Step 3. Translate.

Step 4. Solve the equation.90=152×h

Step 5. Check.

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The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is thewindow’s height?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Name.

Step 3. Translate.

Step 4. Solve the equation.90=152×h

Step 5. Check.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Calculus

Applied Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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?