The sum of all the three sides of an equilateral triangle is $15\sqrt{3}$ cm. The height of the triangle is:
Answer & explanation
Correct answer: option 3
We know that,
Height of a equilateral triangle = √3/2 × a
Sum of three sides = 15√3
So, one side = 5√3
Now,
Height = √3/2 × a = √3/2 × 5√3
= 15/2 = 7.5