Suppose that ca = 12, cb = 20, df = 6, and fe = 10. which additional fact would guarantee that the triangles are similar? a) ab = 24 and de = 12 b) ab = 30 and de = 18 c) ab = 12 and de = 24 eliminate d) m∠a = m∠d

A) AB = 24 and DE = 12

Step-by-step explanation:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar. Then:

On the other hand:

So, the additional fact that would guarantee that the the triangles are similar is AB=24 and DE=12 given that:

So the three pairs of sides have the same ration, in consequence, the angles are also equal.

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