1. In the figure `trianglePQR` is an equilateral triangle, the point N is on ray QR such that QR=RN. Prove that `PN^2 = 3PR^2`

In the figure 2.35,Delta PQR is an equilatral triangle.Point s is on seg QR such that QS=(1)/(3)QR. Prove that :9PS^(2)=7PQ^(2)

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

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 the adjoining figure, triangle QRS is an equilateral triangle. Prove m(arc QRS)=240^@

In the adjoining figure, triangle QRS is an equilateral triangle. Prove that arc RS~=arc QS~=arc QR

In the given figure,ABC is an equilateral triangle; PQ|AC and AC is produced to R such that CR=BP. Prove that QR bisects PC

In the givne figure, ABC is an equilateral triangle, PQ"||"AC and AC is produced to R such that CR = BP. Prove that QR bisects PC.

In the adjoining figure , Delta PQR is an equilateral triangle. QR = RN . Prove that PN^(2) =3PR^(2)

In the figure given below, Delta PQR is right-angled at Q and the points S and T trisect the side QR. Prove that 8PT^(2)=3PR^(2)+5PS^(2)