Answer:
x = 3
Step-by-step explanation:
Remark
Find the hypotenuse of the triangle. That is also the length of the rectangle.
Then use Pythagoras to find x.
Givens and solution
two sides of the triangle both = to 6
Find the base of the triangle which is also the length of the rectangle. Call the base = y
6^2 + 6^2 = y^2
36 + 36 = y^2
y^2 = 72
sqrt(y^2) = sqrt(72)
y = 8.4853
Transfer x to the opposite side of the rectangle.
x^2 = diagonal^2 - y^2
x^2 = 9^2 - y^2
x^2 = 81 - 72
x^2 = 9
sqrt(x^2)= sqrt(9)
x = 3
