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 first step from the following.

1. At point $Q$, draw an angle of ${90}^{\circ }$.
2. From $R$ cut an arc of length $PR=10.0cm$ using a compass .
3. Name the point of intersection of the arm of the angle ${90}^{\circ }$ and the arc drawn in step 3, as $P$.
4. Join $P$ to $Q$ . $PQR$ is the required triangle.
5. Draw the base side $QR=8cm$.

• A. $2$
• B. $1$
• C. $3$
• D. $5$
• E. $4$

Answer 1

The correct option is D $5$

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.

So the first step is $5$

Option $D$ is correct.