Answer:
The side lengths is:
a = 5√2 or 7.07 units
Step-by-step explanation:
The diagram is attached below.
From the diagram, it is clear that we're dealing with a square, so all side lengths of the square would measure the same length.
Moreover, the angles B and D are right, thus we need to use the Pythagorean theorem to find the value of 'a'.
Here, a and b are the right containing sides
As a and b are equal, we consider them as 'a'.
Also, 'c' is the hypotenuse.
Hence,
The diagonal is the Hypotenuse 'c'.
so
a²+a² = 10²
2a² = 100
a² = 50
a = √50
a = 5√2 ∵√50=√25×2=5√2
a = 7.07 units
Therefore, the side lengths is:
a = 5√2 or 7.07 units
