the mdpoints of the sides of a triangle are 3,4 4,6 5,7 find the coordinates of the vertices
Asked by manaal
| 29th Nov, 2009,
12:14: AM
The mdpoints of the sides of a triangle are given as 3,4 4,6 5,7 since you have not separated them in brackets
we are assuming them to be (3,4),(4,6),(5,7)
Let the vertices of triangle be (x1,y1) (x2,y2),(x3,y3)
x1+x2=6 y1+y2=8 (i)
x2+x3=8 y2+y3=12 (ii)
x3+x1=10 y 3+y1=14 (iii)
Now From (i) x2=6-x1 using this in (ii) we get x3-x1 = 2 adding this and (iii) x3 =6 x1=4 and x2 =2
Similarly solve the y equations to get y3=9 y1=5 and y2= 3
Answered by
| 30th Nov, 2009,
09:36: AM
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