Question

23. Find the coordinates of the vertices of the triangle, the middle points of whose sides are
(0,1/2) , (1/2,1/2) , (1/2,0).​

Answer 1

Answer:

(0,0) ; (1,0) ; (0,1)

Step-by-step explanation:

1. Centroid of the given points will be same as the centroid of whole triangle
2. Assume the sides use the mid point formula
3. Area would be one fourth

Or if you don't want to get stumbled in the calculation just assume that one vertex is on origin and the other two are on coordinate axes this will reduce the no. of variables and we only have to use mid point formula.

Assume that point on y axis is A(0,y) that on x axis is B(x,0) and that of origin is C(0,0)

eq 1 : between A and B

MID POINT FORMULA

x coordinate x = 1

$\frac{x + 0}{2} = \frac{1}{2}$

y coordinate y = 1

$\frac{y + 0}{2} = \frac{1}{2}$

hence our coordinate would be

A(0,y) = (0,1)

B(x,0) = (1,0)

C(0,0) = (0,0)