1. If two triangles are similar and the ration oftwo corresponding altitudes is

Question

1. If two triangles are similar and the ration oftwo corresponding altitudes is 1:3, what is the ration of theperimeter of the smaller triangle to the perimeter of thelarger? 2. In inches, the sides of a triangle measure 6, 8, and 10.Find the measure of the smallest side of a similar triangle whoseperimeter is 16 inches. 1. If two triangles are similar and the ration oftwo corresponding altitudes is 1:3, what is the ration of theperimeter of the smaller triangle to the perimeter of thelarger? 2. In inches, the sides of a triangle measure 6, 8, and 10.Find the measure of the smallest side of a similar triangle whoseperimeter is 16 inches.

Explanation / Answer

1. If two triangles are similar and the ration oftwo corresponding altitudes is 1:3, what is the ration of theperimeter of the smaller triangle to the perimeter of thelarger?



2. In inches, the sides of a triangle measure 6, 8, and 10.Find the measure of the smallest side of a similar triangle whoseperimeter is 16 inches.     4

1st triangle perimeter = 6+8+10 = 24
2ndtriangle            since similar perimeters are proportional 16x=24    x=24/16    x=1.5
so the sides are in the same ratio   1.5x=6    (side of smallest side)    x= 4

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