A triangle has a base of 10 centimeters and a height of 6 centimeters. Using the triangle area formula, what is its area?
A60 square centimeters
B16 square centimeters
C32 square centimeters
D30 square centimeters
Answer & Solution
Correct answer: D. 30 square centimeters
1. The area of a triangle is one-half the base times the height.
2. Substitute the values: A equals one-half times 10 times 6.
3. 10 times 6 equals 60, and one-half of 60 equals 30.
4. The area of the triangle is 30 square centimeters.
5. Forgetting the one-half factor and using the full base-times-height product gives the wrong area of 60 square centimeters, which is actually the area of a rectangle with the same base and height.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.4 Use Properties of Rectangles, Triangles, and Trapezoids_
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