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Study the given and prove that DeltaPQR ...

Study the given and prove that `DeltaPQR` is an isosceles triangle.

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In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angle ACB . Prove that Delta ABC is an isosceles triangle.

In the given figure , if AB = BC , angle BAD = angle CAE then prove that triangle ADE is an isosceles triangle .

In the given figure, DeltaABC is an isosceles triangle in which AB=AC and AE bisects angleCAD . Prove that AE||BC .

In the figure, angle D = angle E and (AD)/(DB) = (AE)/(EC) , prove that Delta BAC is an isosceles triangle

P is a point on the bisector of angle ABC .If the line through P,parallel to BA meet at Q ,prove that BPO is an isosceles triangle.

In the figure below, DeltaPQR is an isosceles triangle in which bar(PQ)=bar(PR) . PS is the bisector of angleP . Show that DeltaPQS~=DeltaPRS

Prove that the medians to the two equal sides of an isosceles triangle are equal.

In the figure below, DeltaPQR is an isosceles triangle in which bar(PQ)=bar(PR) . PS is the bisector of angleP . Show that bar(PS)botbar(QR)

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: DeltaADB~=DeltaADC

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: BD = CD