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Mathematics 10 Online
OpenStudy (anonymous):

The height of an equilateral triangle is 46 inches. What is the approximate length s of the triangle's side? http://static.k12.com/calms_media/media/1422500_1423000/1422770/1/c17cda514b29f4cb5bc5e25b7db7bb563341a448/MS_PA_131002_171219.jpg

jimthompson5910 (jim_thompson5910):

if you cut any equilateral triangle in half like that, you get 2 congruent 30-60-90 triangles

OpenStudy (anonymous):

So it's 23?

jimthompson5910 (jim_thompson5910):

not quite

jimthompson5910 (jim_thompson5910):

here is an equilateral triangle |dw:1400470300647:dw|

jimthompson5910 (jim_thompson5910):

cut it in half to get two congruent 30-60-90 triangles |dw:1400470344297:dw|

OpenStudy (anonymous):

I think the answer is 53, then.

jimthompson5910 (jim_thompson5910):

the height is 46, so we know |dw:1400470409189:dw|

jimthompson5910 (jim_thompson5910):

basically we have this |dw:1400470423837:dw|

jimthompson5910 (jim_thompson5910):

we want to find the value of y in the drawing |dw:1400470514543:dw|

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