SOLUTION: An equilateral triangle (one with all sides the same length) has an altitude of 40 inches. Find the length of the sides.

Algebra ->  Algebra  -> Triangles -> SOLUTION: An equilateral triangle (one with all sides the same length) has an altitude of 40 inches. Find the length of the sides.       Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Triangles Question 318805: An equilateral triangle (one with all sides the same length) has an altitude of 40 inches. Find the length of the sides. Answer by unlockmath(1599)   (Show Source): You can put this solution on YOUR website!Hello, One way to solve this is using the Pythagorean theorem. We set up one side as x and the other side as 1/2(x) so we have: 1/2x^2+40^2=x^2 Subtract 1/2x^2 from both sides to get: 1600=1/2x^2 Multiple by 2 to get: 3200=x^2 Sq root each side to get: x=56.57 inches (rounded off) for each side. Make ssense? RJ www.math-unlock.com