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24-11-2015
Mathematics

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Triangle ABC, ∠ B is the right angle, AB = 36 cm, and BC = 28 cm. If the similar figure DEF, DE = 9 cm what is the area of DEF?

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arnzenegger arnzenegger

24-11-2015

AB = 36 cm
BC = 28 cm

Since they are similar figures:

36/28 = 9/EF

36EF = 28*9

EF = 252/36 = 7 cm

Finding the area:

Area = 1/2 * DE * EF

Area = 1/2 * 9 * 7

Area = 31.5 cm^2

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