 Hello and welcome to the session. In this session we discuss the following question which says the area of an equilateral triangle is 25 into root 3 centimeter square. Find the length of each side of the triangle. We know that area of an equilateral triangle is equal to root 3 upon 4 a square where this a is the side of equilateral triangle. This is the key idea for this question. Let's move on to the solution now. We consider let a centimeters be each side of the equilateral triangle. We are given the area of the equilateral triangle is equal to 25 into root 3 centimeter square. Now the area of the equilateral triangle with each side of measure a centimeter is equal to root 3 by 4 a square centimeter square. So we would equate these two areas. So we have root 3 by 4 a square is equal to 25 into root 3. This means we have a square is equal to 25 into root 3 into 4 upon root 3. Now this root 3 root 3 cancels so a square is equal to 100 that is we have a is equal to 10. So therefore the length of each side of the equilateral triangle is equal to 10 centimeters. So 10 centimeters is our final answer. This completes the session. Hope you have understood the solution for this question.