# geometry

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A triangle has side lengths of 3in, 4in, and 6in. The longest side of a similar triangle is 15 in. What is the length of the shortest side of the similar triangle?

• geometry -

The ratio of the sides of the 1st triangle is,
3 : 4 : 6

The second triangle is
x : x : 15

6 : 15 = 3 : x
6/15 = 3/x
cross multiply
6x = 45
x = 7.5

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