Question

In fig AD=CD and AB=CB state the three pairs of equal parts in triangle ABD and triangle CBD In triangle ABD corresponding to triangle CBD ?Why or Why not Does BD bisects triangle ABC ?Give reasons​

Answer 1

Step-by-step explanation:

In triangles ABD and CBD,

Angle DAB = Angle DCB (90°)

Angle ABD = Angle CBD

Angle ADC = Angle DCB

Hence by AAA postulate,

Triangle ABD is congruent to Triangle CBD.

Construction:-

Join A and C.

Let BD join line AC at a point X.

BD bisects Triangle ABC because

Angle BXA = Angle BXC = 90°