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cricket20 [7]
3 years ago
10

What is the length of YZ and BC?

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

YZ = 30 and BC = 6

Step-by-step explanation:

Since ABCDE and YXWVZ are similar figures then the ratios of corresponding sides are equal, that is

\frac{AB}{YX} = \frac{AE}{YZ} ← 2 pairs of corresponding sides

that is

\frac{3}{15} = \frac{6}{YZ} ( cross- multiply )

3YZ = 90 ( divide both sides by 3 )

YZ = 30

Similarly

\frac{AB}{YX} = \frac{BC}{XW}, that is

\frac{3}{15} = \frac{BC}{30} ( cross- multiply )

15BC = 90 ( divide both sides by 15 )

BC = 6



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