In the figure AB = BC and AD is perpendicular to CD. Prove that :
`" "AC^(2)=2.BC.DC`

In the figure, AD is perpendicular to BC, prove that AB+AC gt 2AD .

The given figure shows a triangle ABC, in which AB gt AC . E is the mid-point of BC and AD is perpendicular to BC. Prove that AB^(2)- AC^(2)= 2BCxxED .

The given figure shows a triangle ABC, in which AB gt AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : AB^(2) +AC^(2) =2BE^2 +2AE^2

In triangle ABC, AB > AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : AB^2 +AC^2=2AE^2 +2BE^2

In the given figures, AB > AC and D is any point on BC. Prove that : AB >AD.

In the given figure, AB and DE are perpendiculars to BC Prove that : DetlaABC ~ DeltaDEC

In the given figure, AB and DE are perpendicular to BC. (i) Prove that DeltaABC~DeltaDEC

In the given figure if angleB= 90^(@) and BD is perpendicular to AC then prove that: (i) triangleADB~triangleBDC (ii) triangleADB~triangleABC (iii) triangleBDC ~ triangleABC (iv) BD^(2)= AD xx DC (v) AB^(2)= AD xx AC (vi) BC^(2)= CD xx AC (vii) AB^(2)+BC^(2)= AC^(2)

In a right triangle ABC, right angled at A, AD is drawn perpendicular to BC. Prove that: AB^(2)-BD^(2)= AC^(2)-CD^(2)

In the given figure, AD is perpendicular to BC produced. Prove that: c^(2)=a^(2)+b^(2)+2ax .