Construct a triangle pqr in which qr= 7.2 CM,ANGLE q=45 DEGREE and pq-pr=3.4cm
To construct triangle PQR with the given conditions, follow these steps:
Step 1: Draw the base QR
Start by drawing a horizontal line segment QR with a length of 7.2 cm.
Step 2: Draw point Q
At the left end of line segment QR, label a point as Q.
Step 3: Measure and mark angle Q
From point Q, use a protractor to measure and mark an angle of 45 degrees. This will determine the direction of side PR.
Step 4: Measure and mark PQ-PR
From point Q, measure a distance of 3.4 cm along the line formed by the angle previously marked. Label this point as S.
Step 5: Draw the line segment PS
Connect point P and point S to form line segment PS. This is the required line segment PQ-PR.
Step 6: Draw the line segment PR
Extend the line segment PS beyond point S. Label the point where it intersects with the angle previously marked as R.
Step 7: Complete the triangle
Join point R with point Q to form line segment QR. This completes the triangle PQR.
Now, triangle PQR has the following properties:
- QR = 7.2 cm
- Angle Q = 45 degrees
- PQ - PR = 3.4 cm