Question

Based on your knowledge of right triangles and the Pythagorean Theorem, which statement is correct?
СА
The empty square has a side length of 8 and an area of 64 square units.
The empty square has a side length of 9.6 and an area of 92 square units.
The empty square has a side length of 10 and an area of 100 square units.
The empty square has a side length of 14 and an area of 196 square units

Answer 1

The answer is "The empty square has a side length of 10 and an area of 100 square units"

Answer 2

Answer:

The 3rd Answer: The empty square has a side length of 10 and an area of 100 square units.

Step-by-step explanation:

The pythagorean theorem states that for any right triangle ith legs a and b and a hypotenuse of c that: $a^{2} +b^{2}=c^{2}$ therefore:

In the given right triangle if we apply this  and see that $6^{2}+8^{2}=10^{2}$  meaning that the missing side must be 10. Because of this and the fact that the area of a square is $A=s^{2}$ then A=100 and it is obvious that: The empty square has a side length of 10 and an area of 100 square units.