Respuesta :

Answer:

2√10 is your answer

Step-by-step explanation:

Note that x is the hypotenuse side. Use the equation: a² + b² = c² to solve.

Note that c = hypotenuse, and a & b = other sides. Plug in the corresponding number and variable for each variable

(2)² + (6)² = (x)²

Solve. First, solve the squares.

2² = 2 * 2 = 4

6² = 6 * 6 = 36

Add:

36 + 4 = x²

40 = x²

Isolate the variable. Root both sides

√(40) = √(x²)

x = √40

Simplify.

x = √40 = √(2 * 2 * 2 * 5)  = 2√10

2√10 is your answer

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