SOLUTION: find the areaof the triangle formed by goining the mid-point of the sides of the triangle whosw veetices are (0,-1), (2,1) and (0,3). Find the ratio of this area to the area of the

Algebra ->  Graphs -> SOLUTION: find the areaof the triangle formed by goining the mid-point of the sides of the triangle whosw veetices are (0,-1), (2,1) and (0,3). Find the ratio of this area to the area of the      Log On


   

Question 1055997: find the areaof the triangle formed by goining the mid-point of the sides of the triangle whosw veetices are (0,-1), (2,1) and (0,3). Find the ratio of this area to the area of the triangle.

Answer by ikleyn(52781) About Me  (Show Source):
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find the area of the triangle formed by joining the mid-point of the sides of the triangle whose vertices are (0,-1), (2,1) and (0,3).
Find the ratio of this area to the area of the triangle.
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The basic (larger) triangle has the base of the length 4 (between the first and the third points) and the height of 2 unit.

So its area is %281%2F2%29%2A4%2A2 = 4 square units.

The smaller triangle's area is 1%2F4 of the area of larger triangle, i.e. 1 square unit.