Answer:
x = 2√5 yd
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
From the question x is the hypotenuse
Substitute the values into the above formula
We have
[tex] {x}^{2} = ( { \sqrt{10} })^{2} + (\sqrt{10} )^{2} [/tex]
[tex] {x}^{2} = 10 + 10[/tex]
[tex] {x}^{2} = 20 [/tex]
Find the square root of both sides
We have the final answer as
x = 2√5 yd
Hope this helps you
