Question

Rajeev followed the following steps to construct a triangle $PQR$ such that $PQ=4cm,$ $QR=5cm,$ and $RP=7cm.$

Step 1: Draw a line segment of $QR$ of length $5cm.$

Step 2: Draw an arc of $4cm$ by taking $Q$ as the centre.

Step 3: Mark the intersecting point as $P.$

Step 4: Join $Q,P$, and $Q,R$ to get the required triangle $PQR.$

Which of the following step is missing for constructing this triangle $PQR?$

• A. Draw an arc of 7 cm by taking R as centre.
• B. Draw an arc of 7 cm by taking Q as centre.
• C.
  Draw a line segment of length of 7 cm from R
• D. Draw a line segment of length of 7 cm from Q

Answer 1

The correct option is A Draw an arc of 7 cm by taking R as centre.

Since the given data follows from the construction of the triangle when three sides are given.
Hence, following the steps from the construction of the triangle when three sides are given, if we draw an arc of $7cm$ with $R$ as a center after step $2$, we can construct a triangle with the given measurements.