Question

Similarity and altitudes in right triangles

Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

Answer 1

EH ≈ 2.67

Explanation:

In this geometry, all of the right triangles are similar. This means corresponding sides are proportional:

short side / long side = EH/FH = FH/GH

EH = FH²/GH = 4²/6 = 2 2/3

EH ≈ 2.67