Find the length of the segment indicated.

Answer:
11.281
Step-by-step explanation:
For this question, since we see a right angle triangle, we know that we can use Pythagoras' Theorem to solve for this question.
By Pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {x}^{2} = {4.6}^{2} + {10.3}^{2} \\ \\ {x}^{2} = 127.25 \\ x = \sqrt{127.25} \\ = 11.281 \: or \: \frac{ \sqrt{509} }{2} [/tex]