SOLUTION: the hypotenuse of a right triangle is 20 inches long,and one of its angles measures 45 degrees.what are the lengths of the other two sides of the triangle?in inches

Algebra ->  Triangles -> SOLUTION: the hypotenuse of a right triangle is 20 inches long,and one of its angles measures 45 degrees.what are the lengths of the other two sides of the triangle?in inches      Log On


   



Question 186611: the hypotenuse of a right triangle is 20 inches long,and one of its angles measures 45 degrees.what are the lengths of the other two sides of the triangle?in inches
Answer by uday1435(57) About Me  (Show Source):
You can put this solution on YOUR website!
A right triangle with 45 degrees will be an isosceles right triangle whose sides will be in the ratio 1: √2 : 1, where √2 is the hypotenuse.
Since the Hypotenuse is √2, the other two sides are 20/√2 = 10 √2 inches each.
If you want their lengths in decimals they will be 14.142 inches each