Question

According To The Given Figure :-
(i) State Three Pairs Of Equal Parts In Triangle ADB And ADC.
(ii) Is Triangle ADB Congruent To Triangle ADC? Give Reasons.
(iii) Is Angle B = Angle C? Give Reasons.
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Answer 1

Answer:

(iii) Yes Angle B = Angle C

This is because side AB = AC and angle opposite to equal sides in a triangle are equal.

That's why angle B = angle C

Answer 2

Answer:

Step-by-step explanation:

Given in \bigtriangleup AD\! B and \bigtriangleup ADC.

AB= AC

\angle ADB = \angle ADC=90^0

AD = AD   ( Common side)  

 

ii) So, by RHS Rule of congruency, we conclude

\bigtriangleup ADB\cong \bigtriangleup ADC

 

iii) Since both triangles are congruent all the corresponding parts will be equal.

So,

\angle B= \angle C

 

iv) Since both triangles are congruent all the corresponding parts will be equal.

So,

BD= CD.