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Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?

Which of the following could be the ratio between the lengths of the two legs of a-example-1

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Answer:c

options A and B

Explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes
2√(3) : 2√(3)*√(3)

It becomes
2√(3) : 6

Two sides of 30-60-90 triangle cannot be equal

so option c and option D are not possible

sqrt(2) is also not possible because we have sqrt(3) in general ratio

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