3

Set 2: Triangles

Explanation

Answer: C

A rectangular field measures 5 miles by 12 miles. What is the length of a diagonal path across the field?

A.

3

B.

23

C.

13

✓ Correct
D.

6

Detailed Explanation

Choice C is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 5 and 12 Calculate: 52+122=25+144=1695^2 + 12^2 = 25 + 144 = 169 Take square root: 169=13\sqrt{169} = 13 Therefore, the answer is 13 miles.

Key Steps:

•

The correct answer is 13

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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