Question

Trapezium ABCD in which AB||CD,AB=8cm,BC=6cmCD=4cmand∆B=60°
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Answer 1

Answer:

draw a rough sketch and mark the measurements given.

As it is given that AB || CD , so ∠B + ∠C = 180° (linear pair). So ∠C = 180° – 60° = 120°

Step 2 : draw ΔABC using SAS construction rule with measures AB = 8 cm, ∠B = 60o and BC = 6 cm.

Step 3 : construct ∠C = 120° and draw CY.

Step 4 : with center ‘C’ and radius 4cm (CD = 4 cm) draw an arc to intersect CY at D. Join A,D . ABCD is the required quadrilateral (trapezium