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Construction of Quadrilateral (3 Sides and 2 Diagonals)

Construct the...

Question

Construct the following quadrilaterals:
Quadrilateral $D E A R,$ $D E = 4 c m,$ $E A = 5 c m,$ $A R = 4.5 c m,$ $∠ E = 60^{o}$ and $∠ A = 90^{o}$ .

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Solution

Step 1. Draw a line segment $D E = 4 c m$ .

Step 2. Draw an arc from point $E$ with radius $5 c m$ and having an angle of $60^{\circ}$ which intersects at $A$ .

Step 3. Draw an arc of radius $4.5 c m$ with center $A$ having an angle of $90^{\circ}$ which intersects at $R$ .

Step 4. Join $R D$ .

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Similar questions

Construct the quadrilateral $D E A R$ where $D E = 4 c m, E A = 5 c m, A R = 4.5 c m, ∠ E = 60^{\circ}, ∠ A = 90^{\circ}$

DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠ E = 60^{\circ}

∠ A = 90^{\circ}

TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠ R = 75^{\circ}

∠ U = 120^{\circ}

Question 1
Construct the Quadrilateral DEAR where
DE=4cm, EA=5cm, AR=4.5cm, $∠ E = 60^{\circ}, ∠ A = 90^{\circ}$

△ D E F

E F = 4.5 c m, D E = 5 c m

D F = 3 c m

Construct following quadrilaterals

(i) Quadrilateral $L I F T$
$L I = 4 c m$
$I F = 3 c m$
$T L = 2.5 c m$
$L F = 4.5 c m$
$I T = 4 c m$

G O L D

O L = 7.5 c m

G L = 6 c m

G D = 6 c m

L D = 5 c m

O D = 10 c m

B E N D

B N = 5.6 c m

D E = 6.5 c m

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