Jayson Ace D.
asked • 03/17/22Find the length
Find the length of the 30-60-90 triangle, if the shorter side is 5 cm
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1 Expert Answer
Raymond B. answered • 03/17/22
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Math, microeconomics or criminal justice
hypotenuse = 2(5) = 10 cm
longer side = 5sqr3 = about 5(1.732) = 8.66 cm
shorter side = sin30(hypotenuse) = (1/2)hypotenuse = 5
hypotenuse = 5/(1/2) = 10 cm
longer side = sqr(10^2 -5^2) = sqr(100-25) = sqr75 = 5sqr3 = about 8.66 cm
or longer side =sin60(hypotenuse) = (sqr3)/2)(10) = 17.32/2 = about 8.66 cm
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Doug C.
Probably should be : "find the length of the hypotenuse...". In a 30-60-90, focus on the short leg. The hypotenuse is twice the short leg. The long leg is square root(3) times the short leg.03/17/22