7

Set 5: Triangles

Explanation

Answer: C

James is making a triangular sail with a base of 12 miles and a height of 9 miles. What is the area of the sail?

A.

27

B.

64

C.

54

✓ Correct
D.

44

Detailed Explanation

Choice C is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×12×9A = \frac{1}{2} \times 12 \times 9 A=12×108A = \frac{1}{2} \times 108 A=54A = 54 Therefore, the area is 54 square miles.

Key Steps:

The correct answer is 54

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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