Question

find the length of 'x'.
please solve this problem.​

Answer 1

Answer:

$2\sqrt{33}$

Step-by-step explanation:

Length of line AC can be found by Pythagorean Theorem.

$\frac{}{AC} ^2=10^2-6^2$

∴$\frac{}{AC} =8$(∵$\frac{}{AC} >0$)

Then $x$ can be found by Pythagorean Theorem again.

$x^2=14^2-8^2$

$x^2=2^2*(7^2-4^2)$

$x=2\sqrt{33}$(∵$x>0$)