Mathematics

In the figure,A and B are the centres of the two intersecting circles.Which Euclid's axiom will prove that the $\triangle ABC$ is an equilateral triangles?

Things which are equal to the same thing are equal to one another.

SOLUTION
To prove that  $\triangle ABC$  is equilateral, either we have to prove  $AB=BC=CA$  or  $\angle A=\angle B=\angle C$.

Here in this case, we need to prove  $\angle A=\angle B=\angle C$.

If we have to prove three things are equal, we use the Euclid's axiom stated below :
$Things\ which\ are\ equal\ to\ the\ same\ thing\ are\ equal\ to\ one\ another.\ \ \ \ [C]$

In other words,
$A=B\ \ and\ \ B=C\ \Rightarrow\ A=C$
$i.e.$  If we know  $A=B$  and  $B=C$,  we can say that  $A+C$.

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Single Correct Medium Published on 09th 09, 2020
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