Constructing Triangle PQR
To construct triangle PQR with the given dimensions, follow these steps:
Materials Required:
- Ruler
- Compass
- Protractor
- Pencil
- Paper
Step-by-Step Construction:
1. Draw Base QR:
- Use the ruler to draw a line segment QR measuring 4.8 cm.
2. Mark Angle Q:
- At point Q, use the protractor to measure an angle of 45 degrees.
- Draw a ray from Q at this angle. Label the point where this ray extends as point P.
3. Mark Angle R:
- At point R, measure an angle of 55 degrees using the protractor.
- Draw a ray from R at this angle. Label the point where this ray extends as point P.
4. Locate Point P:
- The intersection of the two rays drawn from points Q and R will be point P.
5. Complete the Triangle:
- Connect points P and Q with a straight line, and then connect points P and R with another straight line.
- Triangle PQR is now complete.
Final Measurements:
- Sides:
- QR = 4.8 cm
- Angles:
- ∠Q = 45 degrees
- ∠R = 55 degrees
- ∠P can be calculated as 180 - (45 + 55) = 80 degrees.
Verification:
- Ensure that the sum of the angles equals 180 degrees, confirming the triangle is constructed correctly.
Using these steps, you can successfully construct triangle PQR with the specified dimensions.