Answer:
√47
Explanation:
First, let's try to find the side length of the left square
Since the area is given, we just have to square root it
√17
A leg of the formed triangle is √17 and the hypotenuse is 8
To find the last leg, we'll use the Pythagorean theorem: a² + b² = c²
(√17)² + b² = 8²
17 + b² = 64
Subtract 17 from both sides
17 + b² = 64
- 17 - 17
b² = 47
Square root both sides the isolate b
√b² = √47
b = √47