SOLUTION: determine the perimeter of a square with diagonal of 72 squared centimeters?

Algebra ->  Triangles -> SOLUTION: determine the perimeter of a square with diagonal of 72 squared centimeters?      Log On


   

Question 150655: determine the perimeter of a square with diagonal of 72 squared centimeters?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal cuts the square into two right triangles with 45 degree. The hypotenuse is 72 ( I assume you meant 72 centimeters, not 72 squared centimeters).
If the hypotenuse is 72, then the sides are 72%2Fsqrt%282%29 = 36%2Asqrt%282%29
A square with side of 36%2Asqrt%282%29 has a perimeter of 4%2A36%2Asqrt%282%29
144%2Asqrt%282%29