Question

In the adjoining figure, AB=AC, BD=DC. Prove ∆ABD=∆ACD and show that
(a) DAB =DAC
​

Answer 1

Answer:

Given:ABC is a triangle in which D is the median joining A.

AB=AC

BD=CD

To prove: Triangle ABD and Triangle ACD

Show that:DAB=DAC

Proof: In Triangle ABD and Triangle ACD

AB=AC(given)

AD=AD(D is the median)

BD=CD(given)

i.e. triangle ABD=triangle ACD (by SSS)

Step-by-step explanation:

In triangle DAB and triangle DAC

DA=DA(median)

DB=DC(given)

AB=AC(given)

i.e. triangle DAB=triangle DAC respectively (by SSS)

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