In , is the largest angle and . Further, the incircle touches , , and at , , and ,…

MATHEMATICS · Multi correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

\triangle PQR

P

is the largest angle and

\cos P=\frac13

. Further, the incircle touches

PQ

QR

, and

RP

N

L

, and

M

, respectively, such that

PN

QL

, and

RM

are consecutive even integers. Then the possible length(s) of the side(s) of the triangle is (are) (1) 16 (2) 18 (3) 20 (4) 22