Answer:
a). x = 10.20 in
b). x = 2.24
Step-by-step explanation:
a). By applying Pythagoras theorem in the given right angle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(15)² = x² + (11)²
225 = x² + 121
x² = 225 - 121
x² = 104
x = √104
x = 10.198 ≈ 10.20 in
b). By applying Pythagoras theorem,
(3x)² = (2x)² + (5)²
9x² = 4x² + 25
9x² - 4x² = 25
5x² = 25
x² = 5
x = √5 = 2.24
