Question

The altitude of an equilateral
triangle is 25root3 cm.Then its side is?
​

Answer 1

Answer:

10cm

Step-by-step explanation:

We know that, the area of equilateral triangle is given by

$A= \frac{ \sqrt{3} }{2} {a}^{2}$where a is side of triangle

We are given that area of equilateral triangle is A=25√3 sq.cms.

$So, 25 \sqrt{3} = \frac{ \sqrt{3} }{4} {a}^{2}$

${a}^{2} = \frac{25 \sqrt{3} \times 4 }{ \sqrt{3} } = 100$

Hence, a=10 cms