Question

The area and height of an equilateral triangle are equa
in number. Find the length of the side of the triangle.​

Answer 1

Answer:

$given \: that\: \\ area = height \\ area \: of \: equilateral \: { \triangle } \: = \frac{ \sqrt{3} }{4} a {}^{2} \\ height \: = \frac{ \sqrt{3} }{2} a \\ < < a \: = side > > \\ area = height \\ \frac{ \sqrt{3} }{4} {a}^{2} = \frac{ \sqrt{3} }{2} a \\ = > \frac{a}{2} = 1 \\ = > a = 2$

So the side of this equilateral triangle is 2 unit