Prove that all angles of equilateral …
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Yogita Ingle 5 years, 3 months ago
For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.
Since, we know, that the sum of all angles of any triangle be 180°.
Let each angle be a.
Thus, {tex}a+a+a=180^{\circ}{/tex}
{tex}\begin{array}{l}{\Rightarrow \quad 3 a=180^{\circ}} \\ {\Rightarrow a=\frac{180^{\circ}}{3}} \\ {\Rightarrow a=60^{\circ}}\end{array}{/tex}
Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.
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