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Constructing a Trapezium When Its Four Sides Are Given

In an isoscel...

Question

In an isosceles trapezium ABCD, AB||DC and AD=BC.If angle D=60^°,AB=18cm and AD=12 cm,find the length of DC.

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Q. In the adjoining figure,

A B C D

is an isosceles trapezium. If

∠ A = 60^{o}, D C = 20 c m

A D = 15 c m

, find the length of

A B

.

Q. In trapezium ABCD, as shown, AB || DC, AD = DC = BC = 20 cm and ∠A =

60^{\circ}

. Find:
(i) length of AB
(ii) distance between AB and DC

Q. Construct an isosceles trapezium ABCD in which

¯ ¯¯¯¯¯¯ ¯ A B

¯ ¯¯¯¯¯¯¯ ¯ D C

,AB = 11 cm, DC = 7 cm, AD = BC = 6 cm and calculate its area.

Q. In trapezium

A B C D

A B ∥ D C, A D = D C = B C = 20 c m

A = 60^{\circ}

. Find:
Distance between

A B

D C

.

Draw a trapezium ABCD in which AB || DC, AB = 7 cm, BC = 5 cm, AD = 6.5 cm and $∠ B = 60^{\circ}$

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Constructing a Trapezium When Its Four Sides Are Given

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