document.write( "Question 1189247: Given: △АВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 30°, AC = 8 cm Find: Perimeter of △ABC \n" ); document.write( "

Algebra.Com's Answer #820564 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Here is a figure. Use the ratio $\"1\"$ : $\"sqrt%283%29\"$ : $\"2\"$ for the side lengths of a 30-60-90 right triangle to find the lengths of the sides of triangle ABC.

\n" ); document.write( "

\n" ); document.write( "(1) In triangle ADC, use AC=8 and ACD=30 degrees to determine AD and DC.
\n" ); document.write( "(2) In triangle CDB, use CD from (1) and angle BCD=60 degrees to determine AB and BD.

\n" ); document.write( "Your final answer for the perimeter of triangle ABC should be $\"24%2B8sqrt%283%29\"$

\n" ); document.write( " \n" ); document.write( "

\n" );