Respuesta :

Answer:

c ≈ 7.07

Pythagorean theorem: a2 + b2 = c2.

You are solving for c2, or the hypotenuse (the blank side of the triangle).

Step-by-step explanation:

1. Fill in the Pythagorean theorem formula.

5^2 + 5^2 = c2

2. Simplify.

25 + 25 = c2

3. Solve

25 + 25 = 50

c2 = 50

4. Find the square root of 50 because "c" SQUARED is the answer (c2).

[tex] \sqrt{50 } [/tex]

c ≈ 7.07

5^2 + 5^2 ≈ 7.07^2. You have your answer.