Question

Two triangles are similar. The measure of the shortest side of the first triangle is 12 and the measure of the shortest side of the second triangle is 5. If the longest side of the first triangle measures 15, what is the measure of the longest side of the second triangle?

Answer 1

Let x be the longest side of the second triangle

12/15 = 5/x

cross-multiply

15 (5) = 12(x)

75 = 12x

divide both-side