Answer:
6√2
6 StartRoot 2 EndRoot
Step-by-step explanation:
To solve for q, we apply the leg rule theorem or leg geometric mean theorem :
The hypotenus = 18 + 4 = 22
Leg 1 = b
Part1 = 4
According to the leg rule theorem :
Hypotenus / leg 1 = leg 1 / part 1
22 / b = b / 4
Cross multiply :
b * b = 22 * 4
b² = 88
b = √88 = √88 = √4 * √22 = 2√22
From Pythagoras :
a² = b² - 4²
a² = (√88)² - 16
a² = 88 - 16
a² = 72
a = √72 = √36 * √2 = 6√2
