SOLUTION: The center of a stained glass window in the shape of an isosceles triangle contains a blue glass piece that is also an isosceles triangle and similar to the window. If the ratio of

Question 1094181: The center of a stained glass window in the shape of an isosceles triangle contains a blue glass piece that is also an isosceles triangle and similar to the window. If the ratio of a side of the window to the base is 3 to 2 and the side of the blue piece is 2 inches longer than the base of the blue piece, what is the length of the base of the blue triangle

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The side of the blue triangle is 2 inches more than the base; and the side and base are in the ratio 3:2. So

You could solve the problem by solving that equation algebraically.

You could also solve it with less effort if you realize that all you need to do is find a fraction equivalent to 3/2 which has a numerator 2 larger than the denominator.

In the fraction 3/2, the numerator is 1 more than the denominator; what can you do to the fraction to get an equivalent fraction with the numerator 2 more than the denominator?
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