SOLUTION: how would I find the area of a square with a diagonal of 10 square root of 2?

Algebra ->  Rectangles -> SOLUTION: how would I find the area of a square with a diagonal of 10 square root of 2?      Log On


   

Question 198042: how would I find the area of a square with a diagonal of 10 square root of 2?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal is the hypotenuse of an equilateral right triangle
Let a be one of the sides.
2a^2=c^2
2a^2=(10sqrt(2))^2
2a^2=200
a^2=100
a=10
.
Area of the square=a^2=100 sq units
.
Ed