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ABC ~ XYZ. The ratio of their areas is 25/16. If XY has a length of 40, what is the length of AB?

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ABC ~ XYZ. The ratio of their areas is 25/16. If XY has a length of 40, what is the-example-1

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12 votes

Answer:

62.5

Explanation:

From the question, we ware told that triangle ABC is similar to XYZ

Hence Aabc/Axyz = AB/XY

Substitute the given values

25/16 = AB/40

Cross multiply

16AB = 40 * 25

16AB = 1000

AB = 62.5

Hence the length of AB is 62.5

User John Spax
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