Question

In the figure below, △ A B C ∼△ D E F . BX and EY are altitudes of each triangle. Find the measure of EY to the nearest tenth.

Answer 1

EY = 5.3 cm

Explanation:

∵ Δ ABC similar to ΔDEF

∴ AB/DE = BX/Ey

∵ AB = 12 cm

∵ DE = 8 cm

∵ BX = 8 cm

∴ 12/8 = 8/EY

∴ 12EY = 8 × 8 ⇒ 12AY = 64

∴ EY = 64 ÷ 12 = 5.3333 ≅ 5.3 cm