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Mathematics 14 Online
OpenStudy (anonymous):

9. An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

OpenStudy (campbell_st):

well what do you know about the triangle.. and altitude..?

OpenStudy (anonymous):

its equilateral and the altitude is 36ft

OpenStudy (campbell_st):

yes... but what properties do you know...?

OpenStudy (anonymous):

Is the answer 8? Cause that's my guestimate

OpenStudy (campbell_st):

well the altitude bisects the base so |dw:1416510280728:dw| you can use trigonometry to find the side length...

OpenStudy (anonymous):

pythagoras tells you that 362+x2=(2x)2 362+x2=4x2 362=3x2 1296=3x2 432=x2 x=432−−−√=123√

OpenStudy (anonymous):

whoops, hold on xc

OpenStudy (anonymous):

there is your answer

OpenStudy (anonymous):

don't forget you want 2x so your answer is 243√

OpenStudy (anonymous):

THANKS!

OpenStudy (anonymous):

yeppers cx ;)

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