Answer:
The answer to your question is x =
or x = 5
![√(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zk4ls2i7rszmygzgqi2kkfexuqtms266jg.png)
Explanation:
To solve this problem use the Pythagorean theorem because two right triangles are formed.
c² = a² + b²
c = 10
a = x
b = x Because in a square all the sides measure the same.
10² = x² + x²
- Simplify
100 = 2x²
x² = 100/2
x² = 50
x =
or x = 5
![√(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zk4ls2i7rszmygzgqi2kkfexuqtms266jg.png)