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Quadrilaterals

Construct a q...

Question

Construct a quadrilateral $A B C D$ in which $A B = 5.5 c m, A D = 4.4 c m, C D = 6.5 c m, A C = 6.5 c m$ and $B D = 7.1 c m$

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Solution

$\Rightarrow$ Draw a line segment $A B = 5.5 c m$
$\Rightarrow$ Take $A$ as center with radius $4.4 c m$ and draw an arc.
$\Rightarrow$ Take $B$ as center with radius $7.1 c m$ and draw an arc, which meet previous arc at point $D$
$\Rightarrow$ Take $A$ as center with radius $6.5 c m$ and draw an arc.
$\Rightarrow$ Take $D$ as center with radius $6.5 c m$ and draw an arc, which meet previous arc at point $C$
$\Rightarrow$ Join $A D, B D, D C$ and $B C$
$∴$ $A B C D$ is a required quadrilateral.

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Similar questions

A B = 6.5 cm

A D = 5 cm

C D = 5 cm

∠

40^{\circ}

∠

50^{\circ}

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

Construct a quadrilateral ABCD, where AB = 4 cm, BC = 5 cm, CD = 6.5 cm and Angle B = $105^{\circ}$ and Angle C = $80^{\circ}$ .

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