JEE Advanced 2013 Mathematics question
In a triangle PQR, P is the largest angle and . Further the incircle of the triangle touches the sides PQ, QR and RP at N, L and M respectively, such that the lengths of PN, QL and RM are consecutive even integers. Then possible length(s) of the side(s) of the triangle is (are)
Answer: (B),(D)
Solution
Tangent lengths: PN = s − p, QL = s − q, RM = s − r. Since P is the largest angle, p is the largest side, so s − p is the smallest: let the three lengths be 2k, 2k + 2, 2k + 4 with s − p = 2k. Then and q, r are , .
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account