Question

the length of each side of an equilateral triangle having 25√3 cm^2 is _____

a. 25cm
b. 10cm
c. 15cm
d. 5cm​

Answer 1

The solution is in attachment

The side of triangle = 10 cm

Answer 2

Answer:

10 cm

Step-by-step explanation:

We know the area of equilateral triangle is

$\frac{ \sqrt{3} }{4 }side {}^{2}$

ATQ,

$\frac{ \sqrt{3} }{4} side {}^{2} = 25 \sqrt{3}$

$\frac{1}{4} side {}^{2} = 25 \ \\ side {}^{2} = 25 \times 4 \\ side = \ \sqrt{5 \times 5 \times 2 \times 2} \\ side = 5 \times 2 = 10$

so