ABC is a triangle and through A, B, C lines are drawn parallel to `BC, CA and AB` respectively intersecting at P, Q and R. Prove that the perimeter of `DeltaPQR` is double the perimeter of `DeltaABC.`

ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to AB meets AD at P and BC at Q. prove that (AP)/(PD) = (BQ)/(QC)

In right angle triangle ABC, 8cm ,15 cm and 17 cm are the length of AB,BC and CA respectively , Then find sin A , cos A and tan A .

From a point O inside a triangle ABC, perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB, respectively. Prove that the perpendiculars from A, B and C to the sides EF, FD and DE are concurrent

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR .

In triangle ABC, if P, Q, R divides sides BC, AC, and AB, respectively, in the raito k : 1 (in order). If the ratio (("area "DeltaPQR)/("area " DeltaABC)) " is " (1)/(3) , then k is equal to

IF in Delta ABC , sin A/2 sin C /2 =sin B/2 and 2s is the perimeter of the triangle then s is

The line 6x+8y=48 intersects the coordinates axes at A and B, respecively. A line L bisects the area and the perimeter of triangle OAB, where O is the origin. The slope of line L can be

The line 6x+8y=48 intersects the coordinates axes at A and B, respecively. A line L bisects the area and the perimeter of triangle OAB, where O is the origin. Slope of Line L is

The diameters of the circumcirle of triangle ABC drawn from A,B and C meet BC, CA and AB, respectively, in L,M and N. Prove that (1)/(AL) + (1)/(BM) + (1)/(CN) = (2)/(R)