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  • 23-05-2022
  • Mathematics
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Find the length of side x in simplest radical form with a rational denominator.
7
Answer: x =

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Find the length of side x in simplest radical form with a rational denominator 7 Answer x Submit Answer class=

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mathstudent55
mathstudent55 mathstudent55
  • 24-05-2022

Answer:

[tex] \dfrac{7\sqrt{2}}{2} [/tex]

Step-by-step 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

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