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State whether the triangle is possible t...

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`

लिखित उत्तर

Verified by Experts

The correct Answer is:
Solution:
`(a) m∠A = 80°, m∠B = 60° m∠A + m∠B = 80° + 60° = 140° < 180°`
So, `Δ ABC` 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 `Δ PQR` can not be constructed.

Solution:
`(a) m∠A = 80°, m∠B = 60° m∠A + m∠B = 80° + 60° = 140° < 180°`
So, `Δ ABC` 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 `Δ PQR` can not be constructed.
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