Answer:
x = 2√5 yd
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
![{x}^(2) = ( { √(10) })^(2) + (√(10) )^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xji5n95f5nfx3xraqfvnxh9allaexi1qsi.png)
![{x}^(2) = 10 + 10](https://img.qammunity.org/2021/formulas/mathematics/high-school/o8qn9mavqe317kgdzksdnyq6xh6gig83fh.png)
![{x}^(2) = 20](https://img.qammunity.org/2021/formulas/mathematics/high-school/uo8qmqyboygqze54b8sxknzjdsi6rzprdg.png)
Find the square root of both sides
We have the final answer as
x = 2√5 yd
Hope this helps you