8

Set 3: Triangles

Explanation

Answer: C

Sofia is making a triangular sail with a base of 13 miles and a height of 18 miles. What is the area of the sail?

A.

58

B.

127

C.

117

✓ Correct
D.

107

Detailed Explanation

Choice C is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×13×18A = \frac{1}{2} \times 13 \times 18 A=12×234A = \frac{1}{2} \times 234 A=117A = 117 Therefore, the area is 117 square miles.

Key Steps:

The correct answer is 117

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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