 Hello and welcome to the session. Let us discuss the following question. It says a triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram. So we are given that parallelogram stands on the base 28 cm of the triangle. They have the same base and the same area and we have to find the height of the parallelogram. Let us now move on to the solution. We are given the sides of triangle ABE as 26 cm, BE as 30 cm and AB as 28 cm. Now we will find the area of this triangle by Heron's formula. So we need to find S which is A plus B plus C by 2 where A is the side 26 cm, B is the side 30 cm and C is the side 28 cm. So it is 26 plus 30 plus 28 upon 2 which is equal to 42. Now the area of the triangle ABE is given by under the root S into S minus A into S minus B into S minus C. Let us now substitute the values of S, A, B and C and this formula S is 42 S which is 42 minus A that is 26, 42 minus 30, 42 minus 28 which is equal to under the root 7 into 6, 42 can be written as 7 into 6. 42 minus 26 is 16 which can be written as 4 into 4, 42 minus 30 is 12 which can be written as 6 into 2 then 42 minus 28 is equal to 42 minus 28 is 14 which can be written as 7 into 2. And taking the square root becomes 7 into 6 into 2 into 4 cm square the unit of the area and it is equal to 336 cm square. So this is the area of the triangle ABE. Now we are given that area of triangle ABE is equal to the area of parallelogram A, B, C, D. Now area of the parallelogram is given by the formula base into height. So this implies area of triangle ABE is equal to the base into height and the area of triangle ABE is, E is 336 cm square which is equal to the base of the parallelogram which is 28 cm into height. So this implies height parallelogram is equal to 336 upon 28 cm which is equal to 12 cm. Hence the height of the parallelogram is equal to 12 cm. And this completes the question. Bye for now. Take care. Have a good day.