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, 21:59: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/236010ea107bfa6d09fe76be48525a1c5bc82bd85263f3.23229118Picture1.png)
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
Concept Videos
CBSE 10 - Maths
Asked by Nickypallavi12 | 14 Oct, 2018, 21:59: PM
CBSE 10 - Maths
Asked by mdraishbst | 14 Sep, 2018, 18:59: PM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Jul, 2017, 15:02: PM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 13:59: PM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 10:33: AM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 10:38: AM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 10:35: AM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 14:00: PM
CBSE 10 - Maths
Asked by Topperlearning User | 26 Sep, 2017, 10:41: AM