In the adjoining figure, BM and DN are the perpendiculars from B and D respectively to AC such that BM = DN. Prove that BO = OD.

In the adjoining figure BO and CO are the bisectors of angleCBD and angleBCE respectively. If AC gt AB , prove that OB gt OC .

In the adjoining figure BO and CO are the bisectors of angleCBD and angleBCE respectively. If AC gt AB , prove that OB gt OC .

In the adjoining figure AD and BE are the perpendiculars on side BC and CA respectively of the DeltaABC , Then , A, B, D, E are concyclic.

In Figure,ABCD is a rectangle.BM and DN are perpendicular from B and D respectively on AC. Prove that MBC~=DNA( ii) BM=DN

In the adjoining figure, D is the mid-point of BC. If BM and CN are perpendiculars from B and C respectively on AD and AD produced, then prove that BM = CN.

In the adjoining figure, D is the mid-point of BC. If BM and CN are perpendiculars from B and C respectively on AD and AD produced, then prove that BM = CN.

In the adjoining figure, BM and CN are the altitudes drawn to the sides AC and AB respectively of DeltaABC . If BM=CN, prove that DeltaABC is isosceles.

In an adjoining figure,ABCD is a rectangle, BM and DN are perpendicular from B and D on AC( i) Is Delta BMC=Delta DNA

In the adjoining figure AD and BE are perpendicular ot BC and AC respectively of the Delta ABC . The four points A,B,D,E are concylic.

In Figure,BM and DN are both perpendiculars to the segments AC and BM=DN. Prove that AC bisects BD . Figure