Q. 24.1( 36 Votes )

# Construct PQR in

Answer :

Given: Base QR = 8 cm, PQ-PR = 3.5cm and

Q = 60° of Δ PQR.

Required: To construct a triangle PQR.

Steps of construction:

Step 1: Draw a segment QR of length 8cm. Step 2: Draw ray QL such that Q = 60° Step 3: Mark an arc on opposite ray QL i.e. QS cutting at D such that QD = 3.5cm. Step 4: Draw segment RD. Step 5: Construct the perpendicular bisector of segment RD. Step 6: Name the point of intersection of ray QL and the perpendicular bisector of RD as P. Step 7: Draw segment PR. ΔPQR is the required triangle.

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