Construct a rohmbus ABCD, in which AB = 7 cm. and angle A = 70°
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8th
Maths
Practical Geometry
Construction of Special Quadrilaterals
Construct a rhombus ABCD wi...
MATHS
MEDIUM
Construct a rhombus ABCD with AB=7 cm and ∠A=60
∘
and find its area
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ANSWER
Given: AB=7 cm and ∠A=60
∘
.
Steps for construction
Step 1 : Draw a rough diagram and mark the given measurements.
Step 2 : Draw a line segment AB=7 cm.
Step 3 : At A on
AB
make ∠BAX whose measure is 60
∘
.
Step 4 : With A as centre draw an arc of radius 7 cm. This cuts \vec {AX} at D.
Step 5 : With B and D as centres draw arcs of radius 7 cm and let them cut each other at C.
Step 6 : Join
BC
and
DC
.
ABCD is the required rhombus.
Step 7 : Measure the lengths AC and BD.
AC=d
1
=12.2 cm and BD=d
2
=7 cm
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