In `triangleABC , angleA= 60^(@)` prove that `BC^(2)= AB^(2)+AC^(2)- AB . AC`

In DeltaABC , AC=BC and /_ACB=90^(@) then prove AB^(2)=2AC^(2)

in Delta ABC,/_A=2/_B Prove that BC^(2)=AC^(2)+AC.AB

In Figure 2,AD perp BC. Prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)

In figure,/_B<90^(@) and AD perp BC .Prove that AC^(2)=AB^(2)+BC^(2)-2BC.BD

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 triangleABC, AB=10cm, angleA=45^(@) and angleC=60^(@) . Find BC.

triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) . Prove that triangle ABC is a right triangle.

In ABC, given that AB=AC and BD perp AC. Prove that BC^(2)=2ACCD

The perpendicular AD on the base BC of a triangleABC intersects BC at D, so that DB=3CD. Prove that 2AB^(2)= 2AC^(2)+BC^(2)