Construct a rhombus PQRS such that PQ = 5 cm and the diagonal PR = 8 cm. Measure and write down the size of ∠QRS.
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Given : a rhombus PQRS such that PQ = 5 cm and the diagonal PR = 8 cm.
To Find : Construct rhombus PQRS
Measure and write down the size of ∠QRS.
Solution:
Step 1 : Draw a line segment PR = 8 cm
Step 2 : Using compass width 5 cm and taking P as center draw arcs on both sides of PR.
Step 3 : Using compass width 5 cm and taking R as center draw arcs on both sides of PR Such that it intersects arc drawn in previous step at Q and S.
Step 4 : Join PQ , QR , RS and PS.
m∠QRS. is 74°
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