5) In the given figure AB = AC and AD is the bisector of $∠ B A C$ (a) Is $△ A D B ≅ △ A D C ? G i v e r e a s o n s . (b) I s ∠ B = ∠ C$ give reasons.

Question

5) In the given figure AB = AC and AD is the bisector of ∠
  B A C (a) Is △ A D B   ≅ △ A D C
  ?   G i v e   r e a s o n s   ( b )   I
s   ∠ B = ∠ C give reasons

Khushi · Accepted Answer

(a) AB = AC ( Given )
∠ BAD= ∠ CAD ( DA is bisector of ∠ BAC)
AD=AD (common)
Hence, Triangle ADB congurent to ADC(by SAS congurency rule)
(b) ∠B = ∠C (By CPCT)

5) In the given figure AB = AC and AD is the bisector of ∠ B A C (a) Is △ A D B ≅ △ A D C ? G i v e r e a s o n s . ( b ) I s ∠ B = ∠ C give reasons.

5) In the given figure AB = AC and AD is the bisector of $∠ B A C$ (a) Is $△ A D B ≅ △ A D C ? G i v e r e a s o n s . (b) I s ∠ B = ∠ C$ give reasons.