Question

For construction of a $△PQR$, where $QR=8cm,PR=10cm$ and $\angle Q={90}^{\circ }$, its steps for construction is given below in jumbled form. Identify the 3rd step from the following.

Step 1. Draw a line $QR=8cm$

Step 2. Join $P$ to $Q$. $PQR$ is required triangle.

So the first step is $5$

Step 3. From $R$ cut an arc $PR=10cm$ using compass.

Step 4. Name the point of intersection of the arm of angle ${90}^{\circ }$ and the arc in step $3$ , as $P$

Step 5. At point $Q$ ,draw an angle of ${90}^{\circ }$

• A. 1
• B. 2
• C. 4
• D. none of these

Answer 1

The correct option is D none of these

Step 1. Draw a line $QR=8cm$

Step 2. At point $Q$ ,draw an angle of ${90}^{\circ }$

Step 3. From $R$ cut an arc $PR=10cm$ using compass.

Step 4. Name the point of intersection of the arm of angle ${90}^{\circ }$ and the arc in step $3$ , as $P$

Step 5. Join $P$ to $Q$. $PQR$ is required triangle.

Option $D$ is correct.