Question

Construct a triangle of the measures given below.

In ∆PQR, l(PQ) = 4.5 cm, l(PR) = 11.7 cm, m ∠PQR = 90°.

Answer 1

Steps of construction:

1. Draw the Base:
   • Draw PQ = 4.5 cm using a ruler.
2. Construct the Right Angle at Q:
   • Place the protractor at point Q on PQ.
   • Mark a 90^∘ angle and draw a perpendicular line from Q.
3. Locate Point R:
   • Set your compass to measure PR = 11.7 cm.
   • Place the compass point at P and draw an arc that intersects the perpendicular line from Q.
   • Label the intersection as point R.
4. Complete the Triangle:
   • Connect R to P and R to Q.

You now have ∆PQR with PQ = 4.5 cm, PR = 11.7 cm, and ∠PQR = 90^∘.