Question

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 with diagram​

Answer 1

Step-by-step explanation:

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.