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Mathematics 10 Online
OpenStudy (anonymous):

Find the perimeter of a 30°-60°-90° triangle with a hypotenuse of 18

OpenStudy (joannablackwelder):

A 30-60-90 triangle has lengths opposite those sides of x, xsqrt(3), and 2x.

OpenStudy (anonymous):

i dont understand the question either way

OpenStudy (joannablackwelder):

Since the hypotenuse is opposite the 90 degree angle, its length is 2x, which is given in the problem to be 18.

OpenStudy (joannablackwelder):

Thus, x is 9.

OpenStudy (joannablackwelder):

So, the side opposite the 30 degree angle is length 9.

OpenStudy (joannablackwelder):

And the side opposite the 60 degree angle is length 9*sqrt(3).

OpenStudy (joannablackwelder):

The perimeter is the sum of all the lengths of sides.

OpenStudy (anonymous):

thank you this really helped me.

OpenStudy (joannablackwelder):

Great! yw

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