Answer:
Explanation:
This can be solved with the help of Pythagoras.
Just to clarify when I write below, Any number, for instance, 6, when written like this (6^2) simply means 6 to the power of 2, or 6 squared.
In Pythagoras, A^2 + B^2 = C^2.
The triangle found at the top seems to be a right-angled triangle. The two legs are 5 and 4. Therefore 5 squared + 4 squared will give you the hypotenuse squared.
5^2 + 4^2 is equal to 41. But 41 is also C^2. If this was the final answer we would need to square root it, but looking at the square found below, the 41 will be used as a leg and therefore doesn't need to be square rooted because it will simply just be squared again.
We know that the diagonal is 8. That means that the hypotenuse of the triangle that we can create in the square is 8, then we can create the following formula,
8^2 = 41 + x^2.
This also means: 64 = 41 + x^2.
We can remove 41 from both sides giving us the following: x^2 = 23
Square root of 23 is equal to 4,8 (rounded).