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Q.

ABC is an equiangular triangle, and it is equilateral. (You have seen earlier that an equilateral triangle is equiangular. Thus for triangles equiangular city is equivalent to equilaterality).?


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is C.

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Detailed Solution

seoGiven: Question Image  To Prove: AB = BC = CA
Proof:
In ΔABC:
Question Image (Given)
AB = BC ... (1) (Sides opposite to equal angles are equal)
Question Image  (Given)
BC = CA ... (2) (Sides opposite to equal angles are equal)
Question Image  (Given)
AC = AB ... (3) (Sides opposite to equal angles are equal)
From (1), (2) and (3):
AB = BC = CA
Thus, the given triangle is equilateral.
We have found the relation between the sides AB, BC and AC as:Question ImageSo, option 3 is correct.
 
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ABC is an equiangular triangle, and it is equilateral. (You have seen earlier that an equilateral triangle is equiangular. Thus for triangles equiangular city is equivalent to equilaterality).?