Question 701683


A {{{30-60-90}}} triangle is a right triangle whose internal angles are {{{30}}},{{{ 60}}} and {{{90 degrees}}}. 

The three sides of a {{{30-60-90}}} triangle have the following characteristics:

All three sides have {{{different}}} lengths.
The shorter leg,{{{ b}}}, is half the length of the hypotenuse, {{{c}}}. That is,
{{{b=c/2}}}
The longer leg's length, {{{a}}}, is the shorter leg times {{{sqrt(3)}}}. That is,
{{{a=b *sqrt(3)}}}

so, you are given {{{c=33}}}

then, you have the shorter leg {{{ b=c/2}}}...=>...{{{ b=33/2}}}...=>...{{{ b=16.5}}}

and the longer leg's length is {{{a=b*sqrt(3)}}}..=>...{{{ a=16.5*1.7321}}}...=>...{{{ a=28.545}}}

check result using Pythagorean theorem:

{{{c^2=a^2+b^2}}}

{{{33^2=28.58^2+16.5^2}}}

{{{1089=816.8164+272.25}}}

{{{1089=1089.0664}}}...round decimal to whole number

{{{1089=1089}}}