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Use the diagram to determine which of the following is a possible length for AC

Use the diagram to determine which of the following is a possible length for AC-example-1

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Answer: B. 17

Explanation:

Mostly just common sense to me. The first triangle is visibly bigger than the second one, and given the comparison between the 50° and 45° we can also assume that that side will be greater than 15. This eliminates A, C, and D.

But, the way I would do this is divide 50 by 45 to see the relationship between the sides. 50/45 = 1.111111111

15 · 1.111111111 = 16.66666667

You could probably round this 17, and since it says a possible length, that would be okay and the closest answer.

Hopes this helps!

User Talkingrock
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