Question

Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side GH. Round your answer to the nearest tenth if necessary. ED is 19, DC is 14, IH is 60, then what is GH?

Answer 1

Because BCDE ~ FGHI, corresponding vertices match: B→F, C→G, D→H, E→I. So ED corresponds to IH, giving scale factor k = IH/ED = 60/19. GH corresponds to DC, so

GH = k · DC = (60/19)·14 = 840/19 ≈ 44.2105.

Rounded to the nearest tenth: 44.2.