The hypotenuse of a 30°-60°-90° triangle measures #10sqrt3# inches. What is the measure of the longer leg?

1 Answer
CW
Dec 16, 2016

#15#

Explanation:

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As shown in the diagram, #a,b# are the two legs and #h# is the hypotenuse.

Given that #h=10sqrt3#,
#a=hcos30=10sqrt3*sqrt3/2=30/2=15#
#b=hsin30=10sqrt3*1/2=5sqrt3=8.66#

Hence, the longer leg #=15#

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