Question

What is the value of x?

Answer 1

Answer:

  3√2

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length.

  x = 3√2

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All these triangles are similar, so the ratio of hypotenuse to leg is the same for all.

  hypotenuse/leg = x/3 = (3+3)/x

  x² = 3·6 = 3²·2 . . . . cross multiply (identify square factors)

  x = 3√2 . . . . . take the square root