Show that every equiangular triangle is an equilateral triangle.
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Answered by
120
hello,
let the equiangular triangle be ΔABC
given ∠A=∠B=∠C
∠A=∠B
when 2 angles are equal in a triangle,then their opposite sides are also equal
∴AC=BC..........................1
now,
∠B=∠C
same property
∴AB=AC..........................2
from 1 and 2
AB=BC=AC
hence,the equiangular triangle is always equilateral triangle
hence proved
hope this helps,if u like it please mark it as brainliest
let the equiangular triangle be ΔABC
given ∠A=∠B=∠C
∠A=∠B
when 2 angles are equal in a triangle,then their opposite sides are also equal
∴AC=BC..........................1
now,
∠B=∠C
same property
∴AB=AC..........................2
from 1 and 2
AB=BC=AC
hence,the equiangular triangle is always equilateral triangle
hence proved
hope this helps,if u like it please mark it as brainliest
VishwasS:
you are very correct !!!
Answered by
7
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