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Question
Construct the following quadrilateral of given measures.
Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
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Solution
Steps of Construction:
Step 1: Draw LM = 6 cm.
Step 2: With L as the center and a radius of 6 cm, draw an arc.
Step 3: With M as the center and a radius of 7.5 cm, draw an arc cutting the previous arc at O.
Step 4: Join OL.
Step 5: With O as centre and radius 4.5 cm, draw an arc.
Step 6: With M as the center and a radius of 4.5 cm, draw an arc cutting the previous arc at N.
Step 7: Join ON and MN.
Here, LMNO is the required quadrilateral.
RELATED QUESTIONS
Construct the following quadrilateral of given measures.
In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90°.
Construct a quadrilateral ABCD, when:
AB = 3.2 cm, BC = 5.2 cm, CD = 6.2 cm, DA = 4.2 cm and BD = 5.2 cm.
Construct a quadrilateral ABCD, when:
AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45°.
Construct a quadrilateral ABCD; if:
AB = 4.3 cm, BC = 5.4, CD = 5 cm, DA = 4.8 cm and angle ABC = 75°.
Construct a quadrilateral ABCD; if:
AB = 6 cm, CD = 4.5 cm, BC = AD = 5 cm and ∠BCD = 60°.
Construct a quadrilateral ABCD; if:
AB = 8 cm, BC = 5.4 cm, AD = 6 cm, ∠A = 60° and ∠B = 75°.
Construct a quadrilateral ABCD; if:
AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.
Construct a quadrilateral ABCD; if:
AB = AD = 5cm, BD = 7 cm and BC = DC = 5.5 cm
Construct a quadrilateral ABCD in which
AB = 4.6cm, BD = 5cm, AC = 6cm, CD = 4.2cm and ∠A = 90°
Construct a quadrilateral ABCD in which
AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75°
