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Help me solve for A and B!

Help me solve for A and B!-example-1

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Here we have one large triangle with two smaller triangles drawn inside. The two smaller triangles are similar.

Thus, a/12 = 12/16, or a/12 = 3/4, or 4a=36, or a = 9.

Find b in the same way: b/20 = 9/12 (and so on).
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