In a triangle ABC, if $\mathrm{A}, \mathrm{B}$ and C are in arithmetic progression, $rr_3=r_1 r_2$ and $c=10$, then $a^2+b^2+c^2=$

• A

  $128$
• B

  $288$
• C

  $392$
• Correct answer
  D

  $200$

Hence, the correct answer is option: 'D'.