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If the bisector of the exterior vertical angle of a triangle is parallel to the base, then it is
  • a)
    Isosceles triangle
  • b)
    Scalene triangle
  • c)
    Right angled triangle
  • d)
    Equilateral triangle
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the bisector of the exterior vertical angle of a triangle is parall...
∠CAE is the external vertical angle and AD is its bisector.

∴ ∠CAD = ∠DAE  .... (i)

As, AD || BC

∴ ∠CAD = ∠ACB  .... (ii)  (alternate angle)

and ∠DAE = ∠ABC  ....(iii)  (corresponding angle)

From (i), (ii) and (iii),

∠ABC = ∠ACB

∴ AC = AB  (opposite sides to equal angles)

Hence, ΔABC is isosceles.
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Most Upvoted Answer
If the bisector of the exterior vertical angle of a triangle is parall...
Can someone please explain how this answer has been derived
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If the bisector of the exterior vertical angle of a triangle is parallel to the base, then it isa)Isosceles triangleb)Scalene trianglec)Right angled triangled)Equilateral triangleCorrect answer is option 'A'. Can you explain this answer?
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