Respuesta :

Answer:

√47

Step-by-step 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

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