ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that `AE^2+CD^2=AC^2+DE^2`.

In the given figure, ABC is a Triangle right angled at B.D and E are points on BC trisect it. Prove that 8AE^2=3AC^2+5AD^2 .

ABC is a right triangle right angled at A. BCED,ACFG and ABMN are squares on the sides BC,CA and AB respectively. Line segments AX bot DE meets BC at Y and DE at X. Join AD,AE also BF and CM Show that DeltaFCB~=DeltaACE

ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squares on the sides BC, CA and AB espectively. Line segments AX bot DE meets BC at Y. and DE at X. Join AD, AE also BF and CM (See the figure). Show that (i) DeltaMBC ~=DeltaABD

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 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 9AQ^2=9AC^2+4BC^2

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 9BP^2=9BC^2+4AC^2

triangle ABC ~ traingle AMP are two right triangles right angled at B and M respectively. Prove that CA/PA = BC/MP

ABC is an isosceles Triangle right angled at C. Prove that AB^2=2AC^2 .

ABC is an isosceles triangle right angled at C. Prove that AB^2=2AC^2 .

ABC is a right Triangle right angled at C. Let BC=a,CA=b,AB=c and let p be the length of the perpendicular fromt C on AB Prove that 1/p^2=1/a^2+1/b^2 .