In the given figure ABCD is parallelogram in which DC=10cm and BC=4root3cm. AP is perpendicular to DC. If angle ADC = 60. Find:
(i) length of AP
(ii) Area of parallelogram ABCD

Question

In the given figure ABCD is parallelogram in which
DC=10cm and BC=4root3cm AP is perpendicular to DC If angle ADC = 60
Find:
(i) length of AP
(ii) Area of parallelogram ABCD

Ashwini Kumar · Accepted Answer

ABCD is a parallelogram and opposite sides of parallelogram are equal, ∴AB=CD= 10 cmAnd BC=AD=43 cmIn right angled triangle APD,sin D=APAD⇒sin60°=AP43⇒32=AP43⇒AP=6 cmArea of parallelogram ABCD=base × height = DC×AP=10×6=60 cm2

In the given figure ABCD is parallelogram in which DC=10cm and BC=4root3cm. AP is perpendicular to DC. If angle ADC = 60. Find: (i) length of AP (ii) Area of parallelogram ABCD

In the given figure ABCD is parallelogram in which DC=10cm and BC=4root3cm. AP is perpendicular to DC. If angle ADC = 60. Find:
(i) length of AP
(ii) Area of parallelogram ABCD