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23 July, 19:44

Triangles △ABC and △DEF are similar. Find the lengths of the sides of △DEF, if AB=2 cm, BC=3 cm, CA=4 cm, DE=1.5 cm.

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  1. 23 July, 23:25
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    DE = 1.5 cm, EF = 2.25 cm, FD = 3 cm

    Step-by-step explanation:

    Side DE corresponds to side AB and is (1.5 cm) / (2 cm) = 3/4 the length of it.

    Because the triangles are similar, all pairs of corresponding sides have the same ratio. That is, the side lengths in ΔDEF are 3/4 of those in ΔABC.

    ... EF = (3/4) * BC = (3/4) * (3 cm)

    ... EF = 2.25 cm

    ... FD = (3/4) * CA = (3/4) * (4 cm)

    ... FD = 3 cm
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