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Construction of a Quadrilateral When Four Sides and One Diagonal Are Given

Construct the...

Question

Question 4
Construct the Rhombus BEST where
BE = 4.5 cm, ET = 6 cm

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Solution

Given: BE = 4.5cm , ET = 6 cm

To construct: A rhombus BEST.

Steps of construction:

(a) Draw TE=6 cm and bisect it into two equal parts.

(b) Draw up and down perpendicular to TE.

(c) Draw two arcs of 4.5 cm taking E and T as centres, which intersect at S.

(d) Again draw two arcs of 4.5 cm taking E and T as centres , which intersects at B.

(e) Join TS, ES, BT, EB.

It is the required rhombus BEST.

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Similar questions

Question 4
Construct the Rhombus BEST where
BE = 4.5 cm, ET = 6 cm

Construct the following quadrilaterals.

(i) Quadrilateral $A B C D$

$A B = 4.5 c m$

$B C = 5.5 c m$

$C D = 4 c m$

$A D = 6 c m$

$A C = 7 c m$

(ii) Quadrilateral

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

(iii) Parallelogram

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 rhombus ABCD with AB = 4.5 cm and AC = 6 cm. [4 MARKS]

Q. Question 191
Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.

Q. Draw rhombus

B E S T

with the following measurements and calculate its area.

B E = 6 c m

E T = 8.2 c m

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Construction of a Quadrilateral When Four Sides and One Diagonal Are Given

Standard VIII Mathematics

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