document.write( "Question 427965: One angle of a triangle is a right angle. Another angle of the triangle is three times the smallest angle. What are the measures of all the angles? \n" ); document.write( "
Algebra.Com's Answer #297541 by John10(297)![]() ![]() You can put this solution on YOUR website! The total degrees of the triangle is 180 degrees. \n" ); document.write( "Since there is a right triangle, it is 90 degrees \n" ); document.write( "So the other two angles are 90 degrees\r \n" ); document.write( "\n" ); document.write( "Let x(smallest angle) and y be those two angles: x + y = 90 (1) \n" ); document.write( "Another angle is three times the smallest number: y = 3x (2)\r \n" ); document.write( "\n" ); document.write( "Substitute (2) into (1) \n" ); document.write( "x + 3x = 90 \n" ); document.write( "4x = 90 \n" ); document.write( "x = 22.5\r \n" ); document.write( "\n" ); document.write( "Substitute x = 22.5 into (2) to find y: \n" ); document.write( "y = 3(22.5)= 67.5\r \n" ); document.write( "\n" ); document.write( "The angles are 22.5, 67.5, and 90.\r \n" ); document.write( "\n" ); document.write( "Hope it will help you!John10\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |