30-60-90

Algebra Level 2

If the longest leg of a 30-60-90 is 6 what is the hypotenuse? ROUND TO THE NEAREST HUNDRETH.


The answer is 6.93.

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1 solution

Evan Hong
May 9, 2015

In a 30-60-90 triangle the longest leg is denoted by x the second longest leg will be denoted as x root 3 and the hypotenuse will be 2x. So if 6 is equal to x root 3 the x will be 2 root 3 and since the hypotenuse is 2x it will be 4 root 3 which is about 6.93.

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