In a 30-60-90 triangle, the long leg is _____ the short leg?


2 times

3 times

√2 times

√3 times

2 Answers
Feb 9, 2018

See below

Explanation:

sqrt3 times

Please see the link below for the more details:
https://www.freemathhelp.com/triangle-30-60-90.html

Feb 9, 2018

sqrt 3 times.

Explanation:

In a 30^@"-"60^@"-"90^@ triangle, the 60^@ angle opens to the long leg, so

tan 60^@="opposite"/"adjacent"="long leg"/"short leg"

We also know that tan60^@=sqrt3, so we get

tan60^@ = "long leg"/"short leg"

=>sqrt3" "="long leg"/"short leg"

=>"long leg" = sqrt3 xx "short leg"

A common diagram for such a triangle is:

dummies.comdummies.com

This and the one for the 45-45-90 triangle are useful to memorize!

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