PQR is a Triangle right angled at P and M is a point on QR such that `PMbotQR`. Show that `PM^2`=QM.MR.

ABD is a triangle right angled at A and ACbotBD . Show that i) AB^2=BC*BD

PQR is an isosceles triangle whose equal sides PQ and PR are at right angles S and T are points on PQ such that QS = 6 (SP) " and " QT = 2 (TP) " and if" angle PRS = theta , angle PRT = phi then

The sides of a right angled triangle are in A.P then they are in the ratio

If r= 2, R = 6 for a right angled triangle then its area is

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In a right Triangle ABC right angled at C.P and Q are points on sides AC and CB respectively which divide these sides in the ratio of 2:1. Prove that 9(AQ^2+BP^2)=13AB^2

In a parallelogram PQRS, M and N are the points on bar(PQ) and bar(RS) such that PM=RN. prove that MS is parllel to NQ

triangle ABC ~ traingle AMP are two right triangles right angled at B and M respectively. Prove that triangle ABC ~ triangle AMP

Show that in a right angled triangle, the hypotenuse is the longest side.