Exercise 9.5
1. Construct Δ ABC in which AB = 4.5 cm,AC = 4.5 cm and ∠ B = 50°. Check whether you get two triangles.
Solution:
2. Construct Δ XYZ such that XY = 4.5 cm, XZ = 3.5 cm and ∠ Y = 70°. Check whether you get two triangles.
Solution:
3. Construct Δ ANR with the sides AN and aR of lengths 5 cm and 6 cm respectively and ∠ N is 100°. Check whether you get two triangles.
Solution:
4.Construct Δ PQR in which QR = 5.5 cm, QP = 5.5 cm and ∠ Q = 60°. Measure RP. What kind of triangle is this?
Solution:
5. Construct the triangles with the measurement given in the following table.
| Triangle | Measurements |
|---|---|
| Δ ABC | BC = 6.5 cm, CA = 6.3 cm, AB = 4.8 cm |
| Δ PQR | PQ = 8 cm, QR = 7.5 cm, ∠ PQR = 85° |
| Δ XYZ | XY = 6.2 cm, ∠ Y =130°, ∠ Z = 70 |
| Δ ABC | AB = 4.8 cm, AC = 4.8 cm, MN = 7.3 cm |
| Δ MNP | ∠ N = 90, MP = 11.4 cm, MN = 7.3 cm |
| Δ RKS | RK = KS = SR = 6.6 cm |
| Δ PTR | ∠ P = 65, PT = PR = 5.7 cm |
Solution: