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Construction of a Quadrilateral When Two Diagonals and Three Sides Are Given

Construct a q...

Question

Construct a quadrilateral ABCD in which BC=4 cm, CA=5.6 cm, AD=4.5 cm, CD=5 cm, and BD=6.5 cm.

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Solution

(i) Draw a line segment CD=5 cm.

(ii) With centre C and radius 5.6 cm and with centre D and radius 4.5 cm, draw arcs which intersect each other at A.
(iii) Join AC and AD.
(iv) Again with centre C and radius 4 cm and with centre D and radius 6.5 cm, draw arcs which intersect each other at B.
(v) Join BC and BD and AB.
Then ABCD is the required quadrilateral.

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Similar questions

A B C D

A B = 4 c m, B C = 5.6 c m, A C = 7.2 c m

A D = 4.5 c m

B D

Construct quadrilateral ABCD given BC = 4.5 cm, AD = 5.5 cm, CD = 5 cm, diagonal AC = 5.5 cm and diagonal BD = 7 cm.

Construct a quadrilateral ABCD in which: $∠ A = 120^{\circ}, ∠ B = 60^{\circ}, ∠ AB = 4 c m, B C = 4.5 c m and C D = 5 c m .$

Construct the following quadrilaterals.

(i) Quadrilateral $A B C D$

$A B = 4.5 c m$

$B C = 5.5 c m$

$C D = 4 c m$

$A D = 6 c m$

$A C = 7 c m$

J U M P

J U = 3.5 c m

U M = 4 c m

M P = 5 c m

P J = 4.5 c m

P U = 6.5 c m

M O R E

O R = 6 c m

R E = 4.5 c m

E O = 7.5 c m

B E S T

B E = 4.5 c m

E T = 6 c m

3.5 c m,

4.5 c m

3.5 c m,

5.6 c m

6.6 c m

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