In the given Figure, ABCD is a parallelogram, AE⊥DC and CF⊥AD. If AB=16 cm, AE=8 cm and CF=10 cm, find AD.
Solution:
Given, AB=CD=16cm (Opposite sides of a parallelogram) CF=10cm and AE=8cm Now, Area of parallelogram = Base × Altitude = CD × AE = AD × CF 16 × 8 = AD × 10 AD = 128/10 cm AD = 12.8 cm