document.write( "Question 964006: A piece of wire 5.5 m long is bent into a triangular shape. One side is 1.5m long and another is 2m long. Find the angles of the triangle. \n" ); document.write( "
Algebra.Com's Answer #588902 by amarjeeth123(569)![]() ![]() ![]() You can put this solution on YOUR website! A piece of wire 5.5 m long is bent into a triangular shape. One side is 1.5m long and another is 2m long.The third side is 5.5-(2+1.5)=2m \n" ); document.write( "The sides of the triangle are 2m,2m and 1.5m respectively. \n" ); document.write( "Let the angle opposite to 1.5 m be x. \n" ); document.write( "using cosine rule we get a^2=b^2+c^2-2bccosA \n" ); document.write( "Substituting the values we get, \n" ); document.write( "1.5^2=2^2+2^2-2(2)(2)cosx \n" ); document.write( "2.25=4+4-8cosx \n" ); document.write( "8cosx=8-2.25 \n" ); document.write( "8cosx=5.75 \n" ); document.write( "cosx=0.71875 \n" ); document.write( "x=44 degrees \n" ); document.write( "Since two sides are equal two angles are equal and it is an isosceles triangle. \n" ); document.write( "Let the other two angles be y \n" ); document.write( "2y+44=180 \n" ); document.write( "2y=136 \n" ); document.write( "y=68 \n" ); document.write( "The angles of the triangle are 68,68 and 44 degrees. \n" ); document.write( " |