Question

If the area of an equilateral triangle is 25 root 3cm then the side of the triangle is

Answer 1

$\red{\textbf{ Answer :- 10cm}}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{Area of triangle = 25√3cm}$

$\textsf{We know that, the area of equilateral}$

$\red{\textbf{triangle is given by, }}$

$\LARGE a = \LARGE\frac{ \sqrt{3} }{4} \small{a}^{2},$$\red{\textbf{where a is side of triangle}}$

$\red{\textsf{We are given that area of triangle is,}}$

$\LARGE a = \sqrt{3} \: \: sq.cms$

$\LARGE 25 \sqrt{3} = \LARGE\frac{ \sqrt{3} }{4} \small {a}^{2}$

$\LARGE {a}^{2} = \LARGE\frac{25 \sqrt{3} \times 4}{ \sqrt{3} }$

$\LARGE {a}^{2} = 100$

$\LARGE a = 10 \: cms$

$\red{\textbf{More information :-}}$

$\textsf{The area of an equilateral triangle (all}$

$\textsf{sides congruent) can be found using}$

$\textsf{the formula ,}$

$\LARGE a = \LARGE\frac{ \sqrt{3} }{4} \ {s}^{2}$