Question

Q Draw a triangle ABC in which AB=AC

and AD is the bisector of angle A.


i)State the three equal parts in triangle

ABD and triangle ACD.


ii) Is triangle ABD congruent to triangle

ACD? Why?



iii) Is BD=CD ? Why? ?

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Answer 1

Answer:

Given in triangle AD B and triangle ADC.

AB= AC

angle ADB = angle ADC=90^0

AD = AD   ( Common side)  

 

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

triangle ADB congruent triangle 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.

Step-by-step explanation: