(a) a = 10.9 cm
(b) b = 20.78 cm
(c) c = 4.06 cm
Step-by-step explanation:
(a)
height, h = 5cm
Hypotenuse, H = 12cm
Base, a = ?
Using pythagoras theorm:
(H)² = (h)² + (a)²
(12)² = (5)² + (a)²
119 = a²
a = 10.9 cm
(b)
Hypotenuse, H = 24 cm
Base, a = 12 cm
Height, b = ?
Using pythagoras theorm:
(H)² = (b)² + (a)²
(24)² = (b)² + (12)²
432 = b²
b = 20.78 cm
(c)
height, h = 4 cm
Hypotenuse, H = 5.7 cm
Base, c = ?
Using pythagoras theorm:
(H)² = (h)² + (c)²
(5.7)² = (4)² + (c)²
16.49 = c²
c = 4.06 cm