Question

ABCD is a parallelogram AE perpendicular to DC and CF perpendicular to AD if AB=16cm,AE=8cm and CF=10cm,find AD​

Answer 1

solution = given , a parallelogram ABCD with AE is perpendicular to DC and CF is perpendicular to AD

AB =16 CM , AE=8CM ,CF =10 .

TO FIND = AD =?

SOLUTION = IN a paralellogram if AB is 16 cm then techniqually AE which is half of AB =8cm ---(1)

◆ CF is half of CB

= CF = 1/2 ×BC

therefore BC = 1/2×CF

BC=2×10 cm =20cm

therefore the value of BC = 20 cm ●

Answer 2

GIVEN:-

$\small\tt\red{ABCD\:is\:a\:||gm}$

$\small\tt\red{AE\:is\:perpendicular\:to\:DC}$

$\small\tt\red{CF\:is\:perpendicular\:to\:AD}$

⠀⠀

$\large\tt\purple{Area\:of\:||gm=b×h}$

$\large\tt\purple{DC×AE=AD×CF}$

$\large\tt\purple{16×8=AD×10}$

$\large\tt\purple{AD=\frac{128}{10}}$

$\large\tt\purple{AD=12.8cm}$