In the adjoining figure, in `DeltaABC`, point D is on side BC such that, `angleBAC = angleADC`. Prove that, `CA^2 = CB xx CD`.

In adjoining figure, in DeltaABC , seg AD and seg BE are altitudes and AE = BD. Prove that seg AD = seg BE.

In the adjoining figure, AB~=CD . Prove that arc AC ~=arc BD

In the adjoining figure, the vertices of square DEFG are on the sides of DeltaABC . If angleA = 90^@ , then prove that DE^2 = BD xx EC .

In the given figure, in DeltaABC , point D is on side AC. If AC = 16, DC = 9 and BP bot AC then, find the following rations. i. (A(DeltaABD))/(A(DeltaABC)) ii. (A(DeltaBDC))/(A(DeltaABC)) iii. (A(DeltaABD))/(A(DeltaBDC))

In the adjoining figure, point S is on side QR of DeltaPQR . Prove that PQ + QR + RP gt 2PS

In the adjoining figure, If AB=4.2, BC=5.4, AE=12, then find AD.

In the adjoining figure, bisector of angleBAC intersects BC at point D. Prove that AB gt BD .

In the adjoining figure, the circle is the incircle of isosceles DeltaABC , where seg AB = seg AC. Prove that M bisects BC.

In the adjoining figure, AP bot BC, AD abs() BC , then find A(DeltaABC):A(DeltaBCD) .

In the adjoining figure, AB^2+AC^2=122 ,BC=10,then find AQ………..