Aaliyah correctly used the diagram shown to explain the Pythagorean Theorem to a classmate. Which statement did Aaliyah use in her explanation?
A) 5 ^ 2 + 5 ^ 2 = 3 ^ 2
B) 3 ^ 2 + 4 ^ 2 = 5 ^ 2
C) 5 ^ 2 + 5 ^ 2 < 3 ^ 2
D) 3 ^ 2 + 4 ^ 2 > 5 ^ 2
(1 point)
[Choice A]
[Choice B)
O [Choice C]
[Choice D]
The correct statement that Aaliyah used in her explanation is: B) 3 ^ 2 + 4 ^ 2 = 5 ^ 2
Why
Aaliyah used statement B) in her explanation because it correctly represents the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In the diagram shown, the sides of the right triangle are labeled as 3, 4, and 5. Aaliyah used the specific values from the diagram to apply the Pythagorean Theorem. By substituting the lengths of the sides into the theorem, she correctly stated that 3^2 + 4^2 = 5^2, which is true. This demonstrates that the lengths of the sides in the right triangle satisfy the Pythagorean Theorem.