Answer:
C) [tex]d^2=b^2-a^2+2ax[/tex]
Step-by-step explanation:
Set the 2 equations equal to each other
[tex]\implies d^2-x^2=b^2-(a-x)^2[/tex]
Expand the brackets:
[tex]\implies d^2-x^2=b^2-(a^2-2ax+x^2)[/tex]
[tex]\implies d^2-x^2=b^2-a^2+2ax-x^2[/tex]
Add [tex]x^2[/tex] to both sides:
[tex]\implies d^2=b^2-a^2+2ax[/tex]
