# SOLUTION: 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 s

Algebra ->  -> SOLUTION: 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 s      Log On

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 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. Answer by nerdybill(7090)   (Show Source): 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. . If you are going to split your base of 51 1/2 inches, it would mean 25 3/4 Instead of the 25 1/4 . To find the angles, you can apply trigonometry: Let x = congruent angles at the base then tan x = 36/25.75 tan x = 36/25.75 x = 54.42 degrees (angle at the base of isosceles triangle) . Other angle: 180 - 2(54.42) = 180 - 108.85 = 71.15 degrees . Your three angles are: 54.42, 71.15 and 54.42 degrees .