Construction of a Triangle ABC with Given Base, Base Angle and Difference between Two Sides AB & AC, with AB <AC
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Q. To construct a ΔPQR, in which QR= 5.5 cm, ∠Q=60∘ and PR - PQ = 2.5 cm, the steps of construction are given below. Complete the third step
Here, PR > PQ,
i.e., the side containing base angle is less than the third side.
Here, PR > PQ,
i.e., the side containing base angle is less than the third side.
Steps of construction:
Step 1: Draw the base QR = 5.5 cm
Step 2: At the point Q, make an ∠XQR=60∘
Step 3 will be
- Cut line segment QS = PR - PQ = 2.5 cm from the line QX extended on opposite side of line segment QR
- Cut line segment QS = PR - PQ = 2 cm from the line QX extended on opposite side of linesegment QR
- Cut line segment QS = PR - PQ = 2.5 cm from the ray QX
- Draw the perpendicular bisector LM of SR.