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

Find the length of side o in simplest radical form with a rational denominator-example-1
User Wyqydsyq
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2 Answers

21 votes
21 votes

Answer:

4.5

Explanation:

User Kthakore
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3.0k points
11 votes
11 votes

Answer:

  • x = 4.5 units

Explanation:

Given is the 30*60*90 right triangle.

Its side ratio is:

  • a : b : c = 1 : √3 : 2, from the shortest to the longest sides

We have:

  • c = 9
  • a = x

Use the above ratios to find the length of a:

  • a : c = 1 : 2
  • x : 9 = 1 : 2
  • x = 9/2
  • x = 4.5
User Pilladooo
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