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This is an isosceles triangle, so both legs are of length 5√2.

Use the Pyth. Thm. to find the length of the hypotenuse.  Square 5√2 and double the result:  25(2) = 50; twice 50 is 100.  The square of the length of the hyp. is 100, and so the length of the hyp is sqrt(100), or 10 (answer).

Answer:

Option C.

Step-by-step explanation:

In the diagram attached, we can see that the given triangle is a right angle triangle.

Now we can apply Pythagoras theorem to evaluate the value of x.

Hypotenuse² = (Side 1)² + (Side 2)²

x² = (5√2)² + (5√2)² [Since side 1 = side 2]

x² = 50 + 50

x² = 100

x = √100 = 10

Therefore, option C. is the answer.

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