10

Set 4: Triangles

Explanation

Answer: B

Victoria is making a triangular sail with a base of 17 feet and a height of 17 feet. What is the area of the sail?

A.

134.5

B.

144.5

✓ Correct
C.

154.5

D.

72

Detailed Explanation

Choice B is correct. Area of a triangle: A=12×base×heightA = \frac{1}{2} \times base \times height 1. A=12×17×17A = \frac{1}{2} \times 17 \times 17 A=12×289A = \frac{1}{2} \times 289 A=144.5A = 144.5 Therefore, the area is 144.5 square feet.

Key Steps:

The correct answer is 144.5

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