In the given figure, PQR is an euilateral triangle and OSPT is a square. If OT `=2sqrt(2)` units, find the equation of lines OT, OS, SP, QR, PR, and PQ.

In the given figure, PQR is an equilateral triangle and OSPT is a square. If OT=2sqrt2 units find the equation of lines OT, OS, SP, QR, PR, and PQ .

In the given figure, P Q R is an equilateral triangle and O S P T is square. If O T=2sqrt(2) units, find the equation of lines O T ,O S ,S P ,Q R ,P R , and P Qdot

If PQR is an equilateral triangle and PX ⊥ QR, find the value of PX^2.

The given figure shows an equilateral triangle OAB. If AB =2a units , find the co-ordinates of the vetices.

In given figure PQR is a right angled triangle, right angled at Q and QS bot PR. If PQ=6 cm and PS=4cm, then find QS, RS and QR.

In the given figure, QR is parallel to AB and DR is parallel to QB. Prove that : PQ^2 = PD xx PA .

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T. If SP=12cm and QR=4cm, (iii) Find area of quadrilateral PQRS if area of DeltaPTS=27cm^(2) .

In the given figure, XY || QR, PQ/XQ=7/3 and PR = 6.3 cm, find YR

The vertex P of an equilateral triangle trianglePQR is at (2,3) and the equation of the opposite side QR is given by x+y=2 . Find the possible equations of the side PQ.

In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T. (ii) Find SP if TP = 18 cm, RQ = 4 cm and TR = 6 cm.