Respuesta :

The answer is 7. Explanation: Because in order to prove Pythagorean Theorem, it is A squared, plus b squared equals c squared. And the hypotenuse is always c squared.

Answer: b = [tex]\sqrt{7}[/tex], so you will enter 7

Step-by-step explanation:

       The Pythagorean Theorem states that a² + b² = c² where a and b are the legs, and c is the hypotenuse.

       All of these right triangles are congruent, so we only need to solve for one b.

Given:

    a² + b² = c²

Input known values:

    (3)² + (b)² = (4)²

Square:

    9 + b² = 16

Subtract 9 from both sides of the equation:

    b² = 7

Square root both sides:

    b = [tex]\sqrt{7}[/tex]

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