Question
Construct the following and give justification: A triangle $PQR$ given that $QR = 3cm, \angle\text{PQR}=45^\circ$ and $QP - PR = 2cm.$
✓
Answer
Steps of construction,
1. Draw a ray $O X$ and cut off a line segment $Q R=3 cm$.
2. $AT Q$, construction $\angle YQR =45^{\circ}$ with help of protractor.
3. On QY, cut off $QS =2 cm$.
4. Join $RS.$
5. Draw perpendicular bisector of $R S$ to meet $Q Y$ at $P$.
6. Join $PR$. Then $PQR$ is the required triangle.
1. Draw a ray $O X$ and cut off a line segment $Q R=3 cm$.
2. $AT Q$, construction $\angle YQR =45^{\circ}$ with help of protractor.
3. On QY, cut off $QS =2 cm$.
4. Join $RS.$
5. Draw perpendicular bisector of $R S$ to meet $Q Y$ at $P$.
6. Join $PR$. Then $PQR$ is the required triangle.
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