Question

Please help thank you so much and show all work

Answer 1

It is a right angle triangle .. 

$a^{2} + b^{2} = c^{2}$
$5^{2} + x^{2} = 10^{2}$
25 + $x^{2}$ = 100
$x^{2}$ = 100 - 25
$x^{2}$ = 75
x = 8.67

Answer 2

This is a 30-60-90 right triangle with the shorter leg having a length of 5.

To find the length of x, we must find the length of the longer leg of the right triangle. To do that, we must multiply the shorter leg by the square root of 3.

$x=5* \sqrt{3} =5 \sqrt{3}$

This is the simplest radical form. Hope this helps! :)