Question

The area of an equilateral triangle is equal to the area of a square with diagonal 20 cm. The side of the triangle is ? ​

Answer 1

Answer:

30.4 approx.

Fir exact ans.

Step-by-step explanation:

The area of an equilateral triangle is equal to the area of a square with diagonal 20 cm.

Let the side of triangle be 'a' and side of square is 20cm

So,

$\frac{ \sqrt{3} }{4} {a}^{2} = {(20)}^{2}$

$\sqrt{3} {a}^{2} = 400 \times 4 = 1600$

${a}^{2} = \frac{1600}{ \sqrt{3} }$

$a = \sqrt{ \frac{1600}{ \sqrt{3} } }$

$a = \frac{40}{ {3}^{ \frac{1}{4} } }$

$a = \frac{40}{1.316}$

$a = 30.395$

Answer 2

Your answer is above

Hope it help's u