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14 February, 01:03

A 30degree, - 60degree, - 90degree triangle had a hypotenuse of 10. What is the length of the longer leg of the triangle? If anyone can explain how to figure this out I will be so grateful!

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  1. 14 February, 02:10
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    The ratio of the sides of this triangle is 2:1:sqrt3 where 2 = hypotenuse and sqrt3 = longer leg.

    So if the hypotenuse = 10, the longer leg = (sqrt3/2) * 10 = 5 sqrt3 or 8.66 to nearest hundredth
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