SOLUTION: the vertics of a right angle triangled are A(1,0),b(7,0)and c (1,8).write down yhe coordinates of the mid-point of all the three sides of the triangle

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: the vertics of a right angle triangled are A(1,0),b(7,0)and c (1,8).write down yhe coordinates of the mid-point of all the three sides of the triangle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 164: the vertics of a right angle triangled are A(1,0),b(7,0)and c (1,8).write down yhe coordinates of the mid-point of all the three sides of the triangle
Answer by KMST(5484) About Me  (Show Source):
You can put this solution on YOUR website!
The vertices of a right angle triangled are A%281%2C0%29 ,B%287%2C0%29 , and C%281%2C8%29 .
It does not matter what kind of triangle it is,
but I will draw that triangle, just for fun.


The midpoint of a line segment has for coordinates
the average of the coordinates of the end points.
The coordinates of point A%281%2C0%29 are x%5BA%5D=1 and y%5BA%5D=0 .
The coordinates of point B%287%2C0%29 has x%5BB%5D=7 and y%5BB%5D=0 .

The midpoint of AB is M%28x%5BM%5D%2Cy%5BM%5D%29 , with x%5BM%5D=%281%2B7%29%2F2=8%2F2=4 because x%5BA%5D=1 , and x%5BB%5D=7 ,
and y%5BM%5D=%280%2B0%29%2F2=0%2F2=0 because y%5BA%5D=0 , and y%5BB%5D=0 .

The midpoint of BC is N%28x%5BN%5D%2Cy%5BN%5D%29 , with x%5BN%5D=%287%2B1%29%2F2=8%2F2=4 because x%5BB%5D=7 , and x%5BC%5D=1 ,
and y%5BN%5D=%280%2B8%29%2F2=8%2F2=4 because y%5BB%5D=0 , and y%5BC%5D=8 .

The midpoint of AC is P%28x%5BP%5D%2Cy%5BP%5D%29 ,with x%5BP%5D=%281%2B1%29%2F2=2%2F2=1 because x%5BA%5D=1 , and x%5BC%5D=1 ,
and y%5BP%5D=%280%2B8%29%2F2=8%2F2=4 because y%5BA%5D=0 , and y%5BC%5D=8 .