1
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Question

# How many arcs are drawn to construct a triangle PQR in which QR=6 cm,∠Q=60∘ and PR−PQ=2 cm.

A
2
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B
4
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C
7
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D
6
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Solution

## The correct option is C 7 Steps to construct the required triangle are as follows : Step 1: Draw a line segment QR of 6cm. At point Q, draw an angle of 60∘, say ∠XQR=60∘[2 arcs]. Step 2: Cut a line segment QS = PR-PQ = 2cm [1 arc] from the line QX extended on the opposite side of line segment QR and join SR. Step 3: Draw perpendicular bisector AB of line segment SR [4 arcs]. Let it intersect QX at point P. Step 4: Join PR, then ΔPQR is the required triangle. ∴ 2 + 1 + 4 = 7 arcs are drawn in total to construct the given triangle.

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