In a 30-60-90 triangle, where the long leg is 12, what is the length of the short leg?

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

6
Nov 15, 2015

Answer:

The length of short leg#=6.928#

Explanation:

#30^o#-#60^o#-#90^o# is a special kind of right-triangle in which sides exist in ratio #SL:LL:H = 1:sqrt(3):2#

where
#SL=#Short Leg,
#LL=#Long Leg,
#H=#Hypotenuse

The side-lengths can also be calculated with these relations
#SL=1/2H# or #SL=1/sqrt3LL#
#LL=sqrt3/2H# or #LL=SLsqrt3#

Therefore, if #LL=12#

#SL=1/sqrt3xx12=4sqrt3=6.928#

Was this helpful? Let the contributor know!
1500