 Hi and welcome to the session. Let us discuss the following question. The question says, sides of a triangle are in the ratio of 12 x to 17 is to 25 and its perimeter is 540 centimeters. Find its area. Let us now begin with the solution. Suppose that the sides in centimeters are 12 x, 17 x and 25 x. It is given in the question that perimeter of this triangle is 540 centimeters. So this means 12 x plus 17 x plus 25 x is equal to 540 centimeters because 540 centimeters is the perimeter of the triangle. This implies before x is equal to 540 centimeters and this implies x is equal to 10 centimeters. So now we have got the value of x and thus the sides of the triangle are 10 centimeters, 17 into 10 centimeters, 25 into 10 centimeters. That is, 120 centimeters, 170 centimeters, 240, sorry, 250 centimeters. Now we know the sides of this triangle. So we can now easily find area of this triangle by using Rohl's formula. We calculate the semi-perimeter of the triangle. Semi-perimeter of the triangle is equal to a plus b plus c by 2. Now here a is equal to 120 centimeters, b is equal to 170 centimeters and c is equal to 250 centimeters divided by 2. And this is equal to 540 centimeters by 2 and this is equal to 270 centimeters. Let's now calculate s minus a, s is equal to 270 centimeters and a is equal to 120 centimeters. So s minus a is equal to 150 centimeters, s minus b is equal to 270 centimeters minus 170 centimeters and this is equal to 100 centimeters. s minus c is equal to 270 centimeters minus 20 centimeters and this is equal to 20 centimeters. Now area of the triangle equal to square root of s into s minus a into s minus b into s minus c. Substitute the values of s, s minus a, s minus b and s minus c. s is equal to 270 centimeters, s minus a is equal to 150 centimeters, s minus b is equal to 100 centimeters, s minus c is equal to 20 centimeters. Now this is equal to 270 is equal to 3 into 3 into 3 into 2 into 5, 150 is equal to 3 into 5 into 2 into 5, 100 is equal to 10 into 10, 20 is equal to 2 into 2 into 5 centimeters square. This is equal to 3 into 3 into 2 into 5 into 10 into, this is equal to centimeter square is equal to 9000 centimeters square. Hence the area of the triangle is 9000 centimeters square. This is a required answer. So this completes the session. Bye and take care.