A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of t

Question

A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?

Accepted Answer

s ≥ 6 s \geq 6 s ≥ 6. We can see that area of parallelogram ABCD = 2*Area of triangle ACD 48 = 2*Area of triangle ACD Area of triangle ACD = 24 ( 1 / 2 ) ∗ C D ∗ D A ∗ s i n A D C = 24 (1/2)*CD*DA*sinADC=24 ( 1/2 ) ∗ C D ∗ D A ∗ s in A D C = 24 A D ∗ s i n A D C = 6 AD*sinADC=6 A D ∗ s in A D C = 6 We know that s i n θ s