Question 238937
Apply Pythagorean theorem:
.
Let x = length of one side of square
then
{{{x^2 + x^2 = 10^2}}}
{{{2x^2 = 100}}}
{{{x^2 = 50}}}
{{{x = sqrt(50)}}}
{{{x = 5sqrt(2)}}}
.
Area is then:
x * x
= 5sqrt(2) * 5sqrt(2)
= (5sqrt(2))^2
= 25*2
= 50 square units