Question

Construct a trapezium PQRS in which PQ||SR, PQ =6 cm, QR=5cm, PS=6.5 cm and angle PQR =60°.​

Answer 1

Step-by-step explanation:

construct a trapezium PQRS in which PQ||SR,PQ=6cm,QR= 5,PS=6.5 cm,angle PQR=60°

Sol: In a trapezoid, PQRS, PQ is parallel to SR, ∴ ∠Q + ∠R = 180° ⇒ 60° + ∠R = 180° ⇒ ∠R = 180° - 60° = 120° Steps of construction: Step 1: Draw PQ = 8cm. Step 2: At Q, draw ∠PQX = 60°. Step 3: From ray QX, cut off QR = 6 cm. Step 4: At R, draw ∠QRY = 120° Step 5: From ray RY, cut off RS = 4 cm. Step 6: Join SP. PQRS is the required trapezoid.

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Answer 2

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