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Construction of Quadrilateral When 3 Sides and 2 Diagonals Are Given

Construct qua...

Question

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.

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Solution

Steps of Constructions:

Draw Triangle ACD using SSS construction. With D as centre, draw an arc of radius 7 cm. With C as centre, draw an arc of radius 4.5 cm. Since B lies on both the arcs, B is the point intersection of the two arcs. Mark B and complete ABCD. ABCD is the required quadrilateral.

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Similar questions

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

Question 1
Construct the Quadrilateral ABCD where
AB=4.5 cm, BC=5.5 cm, CD=4 cm,AD=6cm, AC=7 cm

Construct a parallelogram, ABCD with AB = 3.5 cm, BC = 4.5 cm and diagonal BD = 5.5 cm. [2 MARKS]

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

Try to draw quadrilateral ABCD of these specifications:

(i) AB = 7 cm, BC =5 cm, CD = 4 cm, ∠B = 60°, ∠C = 140°.

(ii) AB = 8 cm, BC = 6 cm, CD = 5.5 cm, DA = 3 cm, ∠B = 50°.

(iii) AB = 8.5 cm, BC = 4.5 cm, CD = 5 cm, DA = 6 cm, BD = 7.5 cm.

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