document.write( "Question 228459: i have a project i am looking for an i need the angles for the triangle,the base of my project is 51 1/2 inches wide, when finished the project will be 36 inches high. i figure i should split the triangle into two congruent triangles. this would lead to two right triangles each with a base of 25 1/4 and a vertical of 36 inches. i need to know the remaining two angles. \n" ); document.write( "
Algebra.Com's Answer #169580 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! i have a project i am looking for an i need the angles for the triangle,the base of my project is 51 1/2 inches wide, when finished the project will be 36 inches high. i figure i should split the triangle into two congruent triangles. this would lead to two right triangles each with a base of 25 1/4 and a vertical of 36 inches. i need to know the remaining two angles. \n" ); document.write( ". \n" ); document.write( "If you are going to split your base of 51 1/2 inches, it would mean \n" ); document.write( "25 3/4 \n" ); document.write( "Instead of the \n" ); document.write( "25 1/4 \n" ); document.write( ". \n" ); document.write( "To find the angles, you can apply trigonometry: \n" ); document.write( "Let x = congruent angles at the base \n" ); document.write( "then \n" ); document.write( "tan x = 36/25.75 \n" ); document.write( "tan x = 36/25.75 \n" ); document.write( "x = 54.42 degrees (angle at the base of isosceles triangle) \n" ); document.write( ". \n" ); document.write( "Other angle: \n" ); document.write( "180 - 2(54.42) = 180 - 108.85 = 71.15 degrees \n" ); document.write( ". \n" ); document.write( "Your three angles are: \n" ); document.write( "54.42, 71.15 and 54.42 degrees \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |