Set 2: Triangles

Explanation

Answer: D

A support cable runs from the top of a 48-centimeters tall tower to the ground, anchored 20 centimeters from the base. How long is the cable?

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: $a^2 + b^2 = c^2$ 1. Given values: 20 and 48 Calculate: $20^2 + 48^2 = 400 + 2304 = 2704$ Take square root: $\sqrt{2704} = 52$ Therefore, the answer is 52 centimeters.

Key Steps:

•

The correct answer is 52

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.

C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.

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