 Hello friends, let's discuss the following question. It says an umbrella is made by stitching then triangular pieces of clothes of two different colors. Each piece measuring 20 cm, 50 cm and 50 cm. How much clothes of each color is required for the umbrella? So this is the figure we need to refer. So we have 10 such triangular pieces of two different colors. That means 5 triangular pieces of one color and we need to find clothes of each color for the umbrella. So let us now move on to the solution and let us name one triangular piece as ABC. So in triangle ABC, AB is 50 cm, BC is 20 cm and AC is also 50 cm. Now we will find the area of the triangular piece by Perron's formula for that we need to find S which is A plus B plus C by 2. Here A is 50, B is 20, C is 50 upon 2 and this is equal to 60. Now we find area of triangle ABC which is equal to under the root of S into S minus A into S minus B into S minus C. So this becomes under the root of 60 into 60 minus 50 into 60 minus 20 into 60 minus 15. So this is equal to under the root of 60 into 10 into 40 into 10 which is again equal to 10 into under the root of 60 into 40 which is equal to 10 into under the root of 2400 which can be written as 24 into 100 and this can be re-written as 10 into 10 into root 24 because 100 is 10 into 10 and we take 10 out of the root and this becomes 100 into 24 can be written as 6 into 2 into 2 and now this becomes 200 into root 6. And since the unit of length is given in centimeter so the area is the unit of area is meter square centimeter square area of one triangular piece is 200 root 6. Now there are 5 triangular pieces of each color so the cloth required for the umbrella is equal to 5 into 200 into root 6 centimeter square which is equal to 1000 root 6 centimeter square. Now again there are 5 triangular pieces of the other color therefore the cloth required for the umbrella the other color is equal to 5 into 200 into root 6 centimeter square which is equal to 1000 root 6 centimeter square. Hence the required cloth of each color is 1000 root 6 centimeter square and 1000 root 6 centimeter square so this completes the question bye for now take care have a good day.