Answer:
The answer is 13.86
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
a² = b² + c²
where
a is the hypotenuse
We have
[tex] {16}^{2} = {x}^{2} + {8}^{2} \\ {x}^{2} = {16}^{2} - {8}^{2} \\ {x}^{2} = 256 - 64 \\ {x}^{2} = 192 \\ x = \sqrt{192} \\ x = 8 \sqrt{3} \\ x = 13.8564...[/tex]
We have the final answer as
13.86 to the nearest hundredth
Hope this helps you
