In the figure above, BD is the altitude drawn to AC. Triangles ABD and CBD are congruent if _________

In the given figure, AD is the bisector of angleBAC . Prove that triangles ABD and ADC are congruent, if AB=AC.

Draw a labelled figure showing information given in the following statement : If the altitudes drawn on two sides of a triangle are congruent then those two sides are congruent . Also write the antecedent and the consequent part with respect to the figure drawn.

In the given figure, BD and CE are the altitudes of triangle ABC such that BD = CE, then DeltaCBD is congruent to

In the given figure, BD and CE are the altitudes of triangle ABC such that BD = CE, then angleDCB=

In the figure given below, ABC is a triangle with AB = BC and D is an interior point of the triangle ABC such that angle DAC = angleDCA. Consider the following statements : 1. Triangle ADC is an isosceles triangle. 2. Dis the centroid of the triangle ABC. 3. Triangle ABD is congruent to the triangle CBD. Which of the above statements are correct ?

In the figure , ABD is a triangle right angled at A and AC bot Bd . Show that AD^(2)=BD*CD

In the given figure, AD is perpendicular to BC and EF "||" BC , if angle EAB = angle FAC , show that triangles ABD and ACD are congruent. Also , find the values of x and y if AB = 2x+3 , AC = 3y+1 , BD = x and DC = y+1 .

In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC. If BH perpendicular to FG, prove that : (i) DeltaEAC~=DeltaBAF . (ii) Area of the square ABDE = Area of the rectangle ARHF.

In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC. If BH perpendicular to FG, prove that : (i) DeltaEAC~=DeltaBAF . (ii) Area of the square ABDE = Area of the rectangle ARHF.