4

Set 4: Triangles

Explanation

Answer: C

A triangular plot of land has a base measuring 13 miles and an altitude of 9 miles. Calculate the area of the plot.

A.

68.5

B.

29

C.

58.5

✓ Correct
D.

48.5

Detailed Explanation

Choice C is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×13×9A = \frac{1}{2} \times 13 \times 9 A=12×117A = \frac{1}{2} \times 117 A=58.5A = 58.5 Therefore, the area is 58.5 square miles.

Key Steps:

•

The correct answer is 58.5

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
B: This would give an incorrect result. Choice B is incorrect and may result from a calculation error.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.
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