Answer:
The midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].
Step-by-step explanation:
Consider the provided information.
We need to find the midpoint of [tex]\overline{BD}[/tex].
For this, we will use the midpoint formula: [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Now put [tex](x_1,y_1)=(0,a)[/tex] and [tex](x_2,y_2)=(a,0)[/tex] in the above formula and solve for M.
[tex]M=(\frac{0+a}{2},\frac{a+0}{2})[/tex]
[tex]M=(\frac{a}{2},\frac{a}{2})[/tex]
Hence, the midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].
