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Sauron [17]
3 years ago
7

Similar Shapes

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

DE = 17.5 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\frac{DE}{BC} = \frac{AE}{AC} ( substitute values )

\frac{DE}{12.5} = \frac{15+6}{15} = \frac{21}{15} ( cross- multiply )

15 DE = 262.5 ( divide both sides by 15 )

DE = 17.5 cm

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