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CBSE Class 10 Answered

The midpoints of the sides BC, CA and AB of a ∆ABC are D(3,4),E (8,9) and F(6, 7) respectively. Find the coordinates of the vertices of the triangle.
Asked by Nickypallavi12 | 14 Oct, 2018, 09:59: PM
answered-by-expert Expert Answer
applying mid point formula
a+c = 6..........eqn1
b+d = 8........eqn2
a+e = 16........eqn3
b+f = 18.........eqn4
c+e = 12.........eqn5
d+f = 14.........eqn6
add all
2a+2b+2c+2d+2f+2e=74
a+b+c+d+e+f=37......eqn7
now sub eqn1 and eqn 2 in eqn7
e+f=23......eqn8
eqn8 - eqn5
f-c=11.....eqn9
sub eqn 3 and eqn2 in eqn7
f+c=13......eqn10
slove eqn 9 and eqn10 to get f and c then sub to find other co ordinates
Answered by Arun | 18 Oct, 2018, 12:29: PM

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