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A triangular church window has an area of 90 square meters and a base of 15 meters. What is the height of the window?
A6 meters
B12 meters
C3 meters
D24 meters
Answer & Solution
Correct answer: B. 12 meters
1. Let h equal the height of the window.
2. The area formula gives 90 equals one-half times 15 times h.
3. Simplify the right side: 90 equals 7.5 times h.
4. Divide both sides by 7.5 to get h equals 12 meters.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem_
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