4. State whether it is possible to construct the triangle ifa. In ΔAB

1.	4. State whether it is possible to construct the triangle ifa. In ΔABC, m ∠A = 80°, m ∠B = 60°, AB = 5.5 cm
Answer» Answer: State WHETHER the triangle is possible to construct if (a) In ΔABC, m∠A = 80°, m∠B = 60°, AB = 5.5 cm (b) In ΔPQR, PQ = 5 cm, QR = 3 cm, PR = 8.8 cm Solution: (a) m∠A = 80°, m∠B = 60° m∠A + m∠B = 80° + 60° = 140° < 180° So, ΔABC can be possible to construct. (b) PQ = 5 cm, QR = 3 cm, PR = 8.8 cm PQ + QR = 5 cm + 3 cm = 8 cm < 8.8 cm or PQ + QR < PR So, the ΔPQR can not be constructed.

4. State whether it is possible to construct the triangle ifa. In ΔABC, m ∠A = 80°, m ∠B = 60°, AB = 5.5 cm

Answer»

Answer:

State WHETHER the triangle is possible to construct if

(a) In ΔABC, m∠A = 80°, m∠B = 60°, AB = 5.5 cm

(b) In ΔPQR, PQ = 5 cm, QR = 3 cm, PR = 8.8 cm

Solution:

(a) m∠A = 80°, m∠B = 60°

m∠A + m∠B = 80° + 60° = 140° < 180°

So, ΔABC can be possible to construct.

(b) PQ = 5 cm, QR = 3 cm, PR = 8.8 cm

PQ + QR = 5 cm + 3 cm = 8 cm < 8.8 cm

or PQ + QR < PR

So, the ΔPQR can not be constructed.