Question
ΔEFG and ΔHIJ are similar. Also, ∠E = ∠H and ∠F
= ∠I. If 3EF = HI and FG = 9 cm, then IJ is equal to ____.Solution
Given ΔEFG ~ ΔHIJ, with ∠E = ∠H and ∠F = ∠I, the triangles are similar with corresponding sides. 3EF = HI ⇒ HI = 3 × EF FG = 9 cm, and FG corresponds to IJ. Since the scale factor is 1:3, IJ = 3 × FG = 3 × 9 = 27 cm.
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