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Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given

Construct the...

Question

Question 4
Construct the Rectangle OKAY where
OK=7 cm, KA= 5cm

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Solution

Given OK=7cm, KA=5cm

To construct: A rectangle OKAY.

Steps of construction:

(a) Draw a line segment OK=7 cm

(b) Constructing angle $90^{\circ}$ at both points O and K and produce these sides.

(c) Draw two arcs of radius 5 cm from points O and K respectively . these arcs intersects at Y and A.

(d) Join YA.

OKAY is the required rectangle

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Question 4
Construct a parallelogram OKAY where OK=5.5 cm and KA=4.2 cm.

Q. Construct the following quadrilaterals
(i) Quadrilateral

M O R E

M O = 6 c m

O R = 4.5 c m

∠ M = 60^{\circ}

∠ O = 105^{\circ}

∠ R = 105^{\circ}

(ii) Quadrilateral

P L A N

P L = 4 c m

L A = 6.5 c m

∠ P = 90^{\circ}

∠ A = 110^{\circ}

∠ N = 85^{\circ}

(iii) Parallelogram

H E A R

H E = 5 c m

E A = 6 c m

∠ R = 85^{\circ}

O K A Y

O K = 7 c m

K A = 5 c m

a parallelogram OKAY where OK=5.5cm and KA=4.2cm . construct it.

Question 4
Construct the Rectangle OKAY where
OK=7 cm, KA= 5cm

Construct a parallelogram OKAY where OK=5.5cm and KA=4.2cm . Is it unique?

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Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given

Standard VIII Mathematics

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