Question

Please need help help me solve

Answer 1

Formula to find the mid-point is

$(\frac{x_{2}+x_{1}}{2} ,\frac{y_{2}+y_{1}}{2} )$.

We need to find the mid-point of HG where H(0,0) and G(2a,0). So, now we can plug in x1=0, y1=0, x2=2a and y2=0 in the above formula to get the answer. So, mid-point of HG is,

$(\frac{0+2a}{2} ,\frac{0+0}{2} )$.

=$(\frac{2a}{2} ,\frac{0}{2} )$

=(a,0).

So, mid-point of HG is (a, 0).