9

Set 3: Triangles

Explanation

Answer: C

A rectangular garden measures 10 meters by 24 meters. What is the length of a diagonal path across the garden?

A.

36

B.

13

C.

26

✓ Correct
D.

16

Detailed Explanation

Choice C is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 10 and 24 Calculate: 102+242=100+576=67610^2 + 24^2 = 100 + 576 = 676 Take square root: 676=26\sqrt{676} = 26 Therefore, the answer is 26 meters.

Key Steps:

The correct answer is 26

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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