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In ΔPQR, PQ = 4 cm, PR = 6 cm and QR = 3 cm. Which of the following is correct?
1. ∠R > ∠Q 
2. ∠Q > ∠R
3. ∠Q = ∠R
4. ∠R < ∠P

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Best answer
Correct Answer - Option 2 : ∠Q > ∠R

Given:

PQ = 4 cm

PR = 6 cm

QR = 3 cm

Concept used:

The angle opposite to the longest side of the triangle has the largest angle in the triangle

Calculations:

Using the sides of the triangle,

PR is the longest side of the given triangle, thus the largest angle of the triangle is ∠Q

QR is the smallest side of the given triangle, thus the smallest angle of the triangle is ∠P

The angles of the triangle are as follows: ∠Q > ∠R > ∠P

∴ Amongst the given options, ∠Q > ∠R satisfies the condition for the given triangle

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