Question

If area of equilateral triangle is 25 root 3 cm square then what will be the side of triangle ?​

Answer 1

Answer: 5√3 units.

In an equilateral triangle the height meets the base at its mid point and can be found using Pythagoras:

side2 = height2 + (side/2)2

⇒ height2 = 3/4 side2

⇒ height = √3/2 side

⇒ side = 2/√3 height

area_triangle = 1/2 x base x height

⇒ 25√3 = 1/2 x side x height

⇒ 25√3 = 1/2 x 2/√3 height x height

⇒ height2 = 25 x 3

⇒ height = 5√3

Answer 2

Answer:

side of triangle is 10cm

Step-by-step explanation:

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

√3/4×a²=25√3

1/4a²=25

a²=100

a=√100

a =10