Question

Find the length of side x in simplest radical form with a rational denominator.

7
Answer: x =

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Answer 1

`(7√(2))/(2)`

Explanation:

Since the legs are congruent, the triangle is 45-45-90 right triangle.

The ratio of the lengths of the sides is

1:1:√2

x = 7/√2

Now we rationalize the denominator.

x = 7/√2 × √2/√2 = 7√2/2