SOLUTION: A 30- 60- 90 triangle has its longer leg of length 7.8. What is the length of the shorter of the two legs? If necessary, round your answer to two decimal places.
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Question 294425: A 30- 60- 90 triangle has its longer leg of length 7.8. What is the length of the shorter of the two legs? If necessary, round your answer to two decimal places.
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
From trigonometry,
where y is the shorter leg.
THe other leg is
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
In a 30 60 90 right triangle the sides are in the ratio 1:2:sqrt(3) with the hypotenuse as 2 the shorter leg as 1 and the longer leg as sqrt(3)
so 7.8/sqrt(3) should be the shorter leg which is 4.5033.
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