 Hi and welcome to our session. Let us just ask the following question. The question says the vertices of a triangle are minus 5, 3, a1 and 6p. Find the value of a and b if the centroid of the triangle isn't g having coordinates 1 minus 1. Let's now begin with the solution. We have learned that the vertices of the triangle have coordinates x1, y1, x2, y2 and x3, y3 then coordinates of the centroid. Are given by x2 plus x3 divided by 3 and y1 plus y2 plus y3 divided by 3. This question we have given the vertices of the triangle as minus 5, 3, a1 and 6p. So this means x1 is equal to minus 5, y1 is equal to 3, 2 is equal to a, y2 is equal to 1, x3 is equal to 6 and y3 is equal to b. The coordinates of the centroid are means x is equal to 1 and y is equal to minus 1. Now we know that it is 6 divided by 3. Now this implies 3 is equal to a plus y1 plus 3 divided by 3. Now y is equal to minus 5 to b divided by 3 is equal to b and this implies b is equal to minus 5. So a equals to 2 and b equals to minus 5 is a required answer. So this now meets the session. Bye and take care.