# math

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The ratio of the corresponding sides of two similar triangles is 3:2. The sides of the larger triangle are 15 cm, 24 cm, and 27 cm. What are the lengths of the sides of the smaller triangle?

• math -

15/x = 3/2 therefore 2 times 15 = 3 times x
30 = 3x
10 = x
24/x = 3/2 therefore 2 times 24 = 3 times x
48 = 3x
16 = x
27/x = 3/2 same as above x = 18

the other sides are 10, 16, and 18

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