In a triangle PQR, P is the largest angle and `cosP=1/3`. 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)

In a triangle PQR, P is the largest angle and cos P = 1//3 . Further the incircle of the triangle touches the sides PQ. QR and PR at N, L and M, respectively, such that the length of PN, QL, and RM are consecutive even integers. Then possible length (s) of the side(s) of the triangle is (are)

In a triangle PQR ,P is the largest angle and cos P = 1/3 . further the triangle toches the side 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)

If a triangle ABC, the incircle touches the sides BC, CA and AB respectively at D, E and F. If the radius of incircle is 4 units and if BD, CE and AF are consecutive integers, Find the lengths of sides of the triangle ABC.

The lengths of the sides of a right-angled triangle are consecutive even integers (in cm). What is the product of these integers ?

In DeltaABC , the incircle touches the sides BC, CA and AB, respectively, at D, E,and F. If the radius of the incircle is 4 units and BD, CE, and AF are consecutive integers, then the value of s, where s is a semi-perimeter of triangle, is ______

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

Suppose that the side lengths of a triangles are three consecutive integers and one of the angles is twice another. The number of such triangles is/are

The perimeters of two, similar triangles ABC and PQR are 75 cm and 50 cm respectively. If the length of one side of the triangle PQR is 20 cm, then what is the length of corresponding side of the triangle ABC?