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8 votes
Find the approximate length of C

Find the approximate length of C-example-1
User Ray Kim
by
2.9k points

1 Answer

14 votes
14 votes

Answer:

c = 2√3 ≈ 3.464

Explanation:

A 30°-60°-90° triangle is a "special" triangle that has sides in the ratios ...

1 : √3 : 2 . . . . . shortest to longest.

Comparing those to the side measures you have, we see ...

1 : √3 : 2 = b : 3 : c

Multiplying the basic ratios by √3 gives a value that matches the long side:

√3 : 3 : 2√3 = b : 3 : c

Then the value of c is 2√3 ≈ 3.464.

_____

Additional comment

Side length b is √3 ≈ 1.732.

User Jela
by
2.9k points
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