is a square and are the middle points of the sides and , respectively, then the ratio of the areas of the square and the triangle is |
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a) |
4:1 |
b) |
2:1 |
c) |
8:3 |
d) |
7:3 |
is a square and are the middle points of the sides and , respectively, then the ratio of the areas of the square and the triangle is |
|||||||
a) |
4:1 |
b) |
2:1 |
c) |
8:3 |
d) |
7:3 |
(c)
Let the coordinates of vertices be , respectively. Then, we get the coordinates of as and those of as
Therefore, area of is
Area of the square is . Hence, the required ratio is 8:3