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Construction of Quadrilaterals — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsConstruction of Quadrilaterals5 Marks
Question
Draw a rhombus whose side is 7.2cm and one angle is 60°.
✓

Answer


Steps of construction:
Step 1: Draw AB = 7.2cm.
Step 2: Draw
$\angle\text{ABY}=60^\circ$
$\angle\text{BAX}=120^\circ$
Sum of the adjacent angles is 180°.
$\angle\text{BAX}+\angle\text{ABY}=180^\circ$
$\Rightarrow\angle\text{BAX}=180^\circ-60^\circ=120^\circ$
Step 3:
Set off AD (7.2cm) along AX and BC (7.2cm) along BY.
Step 4: Join C and D.
Then, ABCD is the required rhombus.

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