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Geometry and Trigonometry Difficulty: Medium

A triangle has a base length of 56 centimeters and a height of 112 centimeters. What is the area, in square centimeters, of the triangle?

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Explanation

Choice C is correct. The area, A, of a triangle is given by the formula A=12bh, where b is the base length and h is the height of the triangle. It’s given that a triangle has a base length of 56 centimeters and a height of 112 centimeters. Substituting 56 for b and 112 for h in the formula A=12bh yields A=(12)(56)(112), or A=3,136. Therefore, the area, in square centimeters, of the triangle is 3,136.

Choice A is incorrect. This is the value of 56+112, not (12)(56)(112).

Choice B is incorrect. This is the value of (14)(56)(112), not (12)(56)(112).

Choice D is incorrect. This is the value of (56)(112), not (12)(56)(112).