 Hi and welcome to the session. Let us discuss the following question the question says, an isosceles triangle has 20 meter 30 centimeters and each of the equal sizes 12 centimeters. Find the area of the triangle. Let's now begin with the solution. A, B, C is the isosceles triangle in which A, B is equal to A, C. We are given that perimeter of this triangle is 30 centimeters and we are also given that A, C is equal to 12 centimeters and A, B is also equal to 12 centimeters. We have to find the area of this triangle. Let A is equal to 12 centimeters, B is equal to 12 centimeters. We are given that perimeter of this triangle is 30 centimeter. As perimeter is 30 centimeters therefore third side of this triangle that is C is equal to 30 minus 12 plus 12 centimeters and this is equal to 6 centimeters. Now we know all sides of this triangle so we can now easily find its area by using Perron's formula. Calculate semi perimeter of this triangle. We know that semi perimeter of the triangle is equal to A plus B plus C by 2. Now substitute the values of A, B and C. A is equal to 12 centimeters, B is equal to 12 centimeters and C is equal to 6 centimeters divided by 2. This is equal to 30 centimeters by 2 and this is equal to 15 centimeters. So S is equal to 15 centimeters. Now we will find S minus A, S is equal to 15 centimeters and A is equal to 12 centimeters. So S minus A is equal to 3 centimeters. Now we will find S minus B, S is equal to 15 centimeters, B is equal to 12 centimeters. So S minus B is equal to 3 centimeters. S minus C is equal to 15 minus 6 centimeters and this is equal to 9 centimeters. We know that area of a triangle is equal to square root of S into S minus A into S minus B into S minus C. Now substitute the values of S, S minus A, S minus B and S minus C in this. Now this is equal to 15 into 3 into 3 into 9 centimeters square and this is equal to square root of we can write 15 as 3 into 5 into 3 into 3 and we can write 9 as 3 into 3 centimeters. This is equal to 3 into 3 into square root of 50 centimeters square and this is equal to 9 into square root of 50 centimeters square. So area of the triangle is 9 into square root of 15 centimeters square. This is our required answer. So this completes the session. Bye and take care.