On a Certain Youth League Baseball Diamond, the Bases Are $35 \sqrt { 2 } \mathrm { ft }$

On a certain youth league baseball diamond, the bases are 35 ft apart. Assuming home plate and the three bases form a perfect square, find the exact distance from home plate to second base. Then Round to the nearest tenth of a foot.

A) The distance is $35 \sqrt { 2 } \mathrm { ft }$ or approximately $49.5 \mathrm { ft }$ .
B) The distance is $\sqrt { 35 } \mathrm { ft }$ or approximately $5.9 \mathrm { ft }$ .
C) The distance is $2 \sqrt { 35 } \mathrm { ft }$ or approximately $11.8 \mathrm { ft }$ .
D) The distance is $\sqrt { 70 } \mathrm { ft }$ or approximately $8.4 \mathrm { ft }$ .