GATE | GATE-CS-2015 (Set 2) | Question 65
In a triangle PQR, PS is the angle bisector of ∠ QPR and ∠ QPS = 60°. What is the length of PS?
Area of a Δ = 1/2 * ac sinB = 1/2 * bc sinA = 1/2 ab sinC Here area (ΔPQR) = area (ΔPQS) + area (ΔPRS) 1/2 rq sin120 = 1/2 PS * r sin60 + 1/2 PS * q sin60 => PS = rq/(r+q)
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