Answer:
x = 5√3 inches
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
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
[tex] {10}^{2} = {5}^{2} + {x}^{2} [/tex]
[tex] {x}^{2} = {10}^{2} - {5}^{2} [/tex]
[tex] {x}^{2} = 100 - 25[/tex]
[tex] {x}^{2} = 75[/tex]
We have the final answer as
x = 5√3 inches
Hope this helps you
