Answer:
20√2 cm²
Step-by-step explanation:
Area of parallelogram = base * height
base (b) = 10 cm
height (h) = ?
Apply trigonometric function to find the height (h)
Assuming the height connecting the parallel bases together forms a right angle, therefore
Reference angle = 45°
Opposite = height (h)
Hypotenuse = 4 cm
Apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = h/4
4*Sin 45 = h
4*√2/2 = h (sin 45 = √2/2)
2√2 = h
h = 2√2 cm
✔️Area = base * height = 10 * 2√2
= 20√2 cm²
