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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鈥檚 height?

Short Answer

Expert verified

12 meter is the height of a triangular church window.

Step by step solution

01

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.

02

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.

03

Step 3. Translate.

Write the appropriate formula.

A=12脳b脳h

Substitute in the given information.

90=12脳15脳h

04

Step 4. Solve the equation.90=152×h

Multiply both sides by 215

215脳90=215脳152脳h12=h

05

Step 5. Check.

A=12脳b脳hA=12脳16脳12A=80

Verified

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