Question

In the following figure, AB parreral DC and AD = BC .
DC = 20cm
AD = 10cm
Angle A = 60°
AB = x cm
Find the value of x

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Answer 1

Answer:

if AD = DC

SO,

DC = 20CM AB IS ALSO EQUAL T0 20CM

Answer 2

Answer:

AB parreral DC and AD = BC .

DC = 20cm

AD = 10cm

Angle A = 60°

AB = x cm

This is the condition for rhombus and trapezium.

For rhombus,

AB = CD = 20 cm

For trapezium,

If angle A = 60,

Then B must be 60.

AD = 10 given

So,

Base of Ab' = 10*cos60

= 10*1/2 = 5 cm

Similarly Ba' = 5 cm

So, finally AB = CD + Ab' + Ba'

AB = 20+5+5 = 30 cm.