Question

Trapezium ABCD in which AB || CD, AB = 8 cm, BC = 6cm, CD = 4cm and ∠B = 60°, (Construct quadrilateral)

Answer 1

Answer:

Explanation:

GIVEN : In Trapezium ABCD,

AB || CD

AB = 8 cm

BC = 6cm

CD = 4cm

∠B = 60o.

PROCEDURE :

Step1 : 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).