PQR is a triangle right angled at P and M is a point on QR such that PM `bot` QR . Show that `PM^(2)` = QM .MR.

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)

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

In DeltaPQR is a right angled triangle, right angled at Q such that QR =-b and A(DeltaPQR)=a. If QNbotPR, then show that QN =(2a.b)/(sqrt(b^(2)+4a^(2))).

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 .

Delta PQR is an "equilateral triangle", "seg" PM bot side QR, Q -M- R "Prove that" : PQ^(2) = 4QM^(2)

In Delta PQR , given that S is a point on PQ such that ST || QR and (PS)/(SQ) = 3/5 . If PR = 5.6 cm , then find PT .

In right angle triangle Delta PQR ,right angle at Q,PQ = 6cm and angle RPQ =60^(@) Determine the lengths of QR and PR.

In a triangle PQR with right angle at Q , the value of angle P is x, PQ = 7cm and QR 24 cm , then find sin x and cos x

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