Math, asked by akshara312, 10 months ago

AB = AC and AD is the bisector BAC. (i) State three pairs of equal parts in triangles ∆ADB and ∆ADC. (ii) Is ∆ADB congruent to ∆ADC? Give reasons. (iii) Is B = C. Give reasons.​

Answers

Answered by Asifkamal55
16

Step-by-step explanation:

Given :  AB = AC and AD is the bisector of ∠BAC.

To Find :

(i) State three pairs of equal parts in triangles ADB and ADC.

(ii) Is ΔADB ≅ΔADC

(iii)Is ∠B = ∠C  

Solution :  

The three pairs of equal parts in ∆ADB and ∆ADC are :-

  AB = AC (Given.)

 ∠BAD = ∠CAD (∵ AD is the bisector of ∠BAC.)

  AD = AD (common.) - reflexive property

ΔADB ≅ΔADC (  SAS )   YES

   ∠B = ∠C (  CPCT )      YES

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