[" (3) In a triangle "ABC,N" is a point on "AC" such that "BN perp AC*" If "BN^(2)=AN*NC," prove that "],[/_B=90^(@)" ."]

In a triangle ABC,N is a point on AC such that BN perp AC. If BN^(2)=ANNC, prove that /_B=90o .

ABC is a triangle with AB= AC and D is a point on AC such that BC^(2)= AC xx CD . Prove that BD= BC.

ABC is a triangle in which AB=AC and D is a point on AC such that BC^(2)=AC xx CD .Prove that BD=BC .

ABC is a triangle in which AB = AC and D is a point on AC such that BC^2 = AC xx CD .Prove that BD = BC .

ABC is an isosceles triangle with AB = AC and D is a point on AC such that BC^2=ACxxCD . Prove that BD = BC

In ABC, if BD perp AC and BC^(2)=2ACCD, then prove that AB=AC .

The following figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that BN=CM

The following figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that : (i) AM = AN (ii) Delta AMC ~= Delta ANB (iii) BN = CM (iv) Delta BMC ~= Delta CNB

The following figure shows a triangle ABC in which Ab = AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that : (i) AM = AN (ii) DeltaAMC cong DeltaANB (iii) BN=CM (iv) DeltaBMC cong DeltaCNB

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