Question

rhombus MATH with AT=4cm angle MAT=120 degrees . construct a quadrilateral.
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Answer 1

i) Draw a line segment AT=4cm.

ii) Construct ∠MAT=120.

iii) With A as the centre and radius equal 4cm.

iv) Draw a arc on AX

v) Mark the intersection as M

vi) With M as the centre and radius of 4cm.Draw an arc.

vii) With T as the centre with same radius cut the previous arc as mark the point as H.

viii) Join points MH and HT.

∴ MATH the required Rhombus is constructed.

see the attachment

Answer 2

Given : rhombus MATH with AT =4cm, MAT=120°

To Find : Construct rhombus

Solution :

Step 1 : Draw a line segment AT = 4 cm

Step 2 :Draw an  angle of 120° using protractor at AT  

Step 3 : Take a length of 4 cm from A on angle drawn and mark M

Step 4 : using compass width = 4cm and taking M as center draw an arc

Step 5 : using compass width = 4cm and taking A as center draw an arc such that it intersects arc drawn in previous step at H

Step 6 : Join AH  and MH

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