Answer:
The answer is option C
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] {13}^{2} = {5}^{2} + {x}^{2} \\ {x}^{2} = {13}^{2} - {5}^{2} \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144[/tex]
Find the square root of both sides
That's
[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]
We have the final answer as
x = 12
Hope this helps you
