Question

Trapezium ABCD in which AB parallel CD ,AB=8cm,BC=6cm , CD=4cm and angle B=60 degree


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Answer 1

Step-by-step explanation:

=> It is given that In Trapezium ABCD, AB || CD,  

AB = 8 cm,  

BC = 6cm,  

CD = 4cm and

∠B = 60°

=> But, In isosceles trapezium, non parallel sides are equal in length

hence, CD = AD = 4 cm

and ∠A = ∠B = 60° and

∠C = ∠D

and ∠B  + ∠C = 180°

∠C = 120°

and  ∠C =  ∠D = 120°

lets construct a trapezium :

=> Draw a line AB = 8 cm

=> Construct angle 60° at A and at B as ∠A = ∠B = 60°  

=> Lets take radius 6cm and cut the angle ray as take center A than it cut at D and take center B than it cut at C. (As AD = BC = 6cm)

=> Construct angle of 120° at C and that ray meet at D as CD = 4 cm.