Answer:
[tex](ST)^2 + (TU)^2 = (SU)^2[/tex] because 36 + 64 = 100
Step-by-step explanation:
Triangle STU is a right angled triangle because it is formed squares D, E and F.
This means the sum of the squares of the sides of a triangle is the square of the hypotenuse. This is also called the Pythagorean theorem.
Therefore, [tex](ST)^2 + (TU)^2 = (SU)^2[/tex] because 36 + 64 = 100
which satisfies the relationship between the sides of the triangle STU.