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Using a proportion based on similarity, find the length of DE. (AB = 9m, BC = 13.5, CD = 22.5, DE = ?) (How can I solve this?

Using a proportion based on similarity find the length of DE AB 9m BC 135 CD 225 DE How can I solve this class=


Answer :

15

If the triangles are similar, which they are, because they are both right, we can figure out the length of X.

So, to find the proportion of the dilation from 1 triangle to the next, we can divide the 22.5/13.5, and dividing, we get 1.667. This is our dilation number. If one side of the triangle was dilated, the other was also dilated and by the same amount. So, 9x1.667 is around 15 m.
DE = 36 according to the calculation

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