Answer:
The answer to your question is x = [tex]\sqrt{50}[/tex] or x = 5[tex]\sqrt{2}[/tex]
Step-by-step 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 = [tex]\sqrt{50}[/tex] or x = 5[tex]\sqrt{2}[/tex]
