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