Question

ABCD is a parallelogram Ae is perpendicular to DC and CF is perpendicular to a d a b is equals to a is equal to AC and CF is equals to 16 and a b is equals to 12 show that a b is equals to 6​

Answer 1

Answer:

12.8cm

Step-by-step explanation:

Draw the diagonal AC. Now your parallelogram will be devided to two traingles with equal AREA.

Lets take Traingle: ADC.

FC is the perpendicular to AD(Base). so Area will be: 1/2 x AD x CF

AE is the perpendicular to DC so Area will be :  

1/2 x DC x AE=1/2 x AB x AE, for parallelogram DC=AB.

Hence, 1/2 x AD x CF =1/2 x AB x AE

=> AD= AB x AE/CF= 16 x 8/10=128/10=12.8cm