In figure `angle QPC=90^(@)`, PS is its bisector. If `ST bot PR`, prove that `ST xx (PQ +PR)=PQ xx PR`.

In the adjoining figure, angle PQR = 90^(@)T is the midpoint of side QR. Prove that PR^(2) = 4PT^(2) - 3PQ^(2)

In DeltaPQR,anglePQR=90^(@), as show in figure, seg QSbotsidePR, seg QM is angle bisector of anglePQR. Prove that : (PM^(2))/(MR^(2))=(PS)/(SR)

In the adjoining figure, angle PQR = 90^(@) "seg" QS bot side PR, PS = 4, PQ = 6. Find x,y and z.

Two triangles QPR and QSR, right angled at P and S respectively are drawn on the same base QR and on the same side of QR. If PR and SQ intersect at T, prove that PT xx TR= ST xx TQ .

In Delta PQR, angle Q = 90^(@), PQ = QR = 5 sqrt 2 PR = 10 "then" angle P…….

The diagonal AC of a parallelogram ABCD intersects DP at the point Q, where ‘P’ is any point on side AB. Prove that CQ xx PQ = QA xx QD .

If a point Q lies between two points P and R such that PQ = QR, prove that PQ = 1/2 PR.

in the adjoining figure, Delta PQR is an equilateral triangle. Point S is on seg QR such that QS = 1/3 QR , Prove that 9 PS^(2) = 7 PQ^(2)

In figure OPRQ is a square and angle MLN =90^(@) . Prove that (i) Delta LOP ~ Delta QMO (ii) Delta LOP ~ Delta RPN (iii) DeltaQMO ~ Delta RPN (iv) QR^(2)=MQ xx RN .