Question

find the measure of eh. enter your answer as a number.

answer

Explanation:

Step1: Identify EH and EF equality

Since \( EG \perp HF \) and \( G \) is midpoint of \( HF \), \( EH = EF \). So \( 5x - 20 = 3x - 4 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 2x - 20 = -4 \). Add 20 to both sides: \( 2x = 16 \). Divide by 2: \( x = 8 \).

Step3: Calculate EH

Substitute \( x = 8 \) into \( 5x - 20 \): \( 5(8) - 20 = 40 - 20 = 20 \).

Answer:

20