Question
What is the length of the missing side?
A right triangle is drawn. The short segment adjacent to the right angle is unknown. the long segment adjacent to the right angle is 45 millimeters. The segment opposite the right angle is 53 millimeters.
(1 point) which one is the true correct answer a b c or d solve it and tell me why
Responses
16 mm
16 mm
28 mm
28 mm
42 mm
42 mm
69.5 mm
A right triangle is drawn. The short segment adjacent to the right angle is unknown. the long segment adjacent to the right angle is 45 millimeters. The segment opposite the right angle is 53 millimeters.
(1 point) which one is the true correct answer a b c or d solve it and tell me why
Responses
16 mm
16 mm
28 mm
28 mm
42 mm
42 mm
69.5 mm
Answers
GPT 3.5
To find the length of the missing side in a right triangle, we can use the Pythagorean theorem, which 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 other two sides.
Let the unknown side be x. Using the Pythagorean theorem:
x^2 + 45^2 = 53^2
x^2 + 2025 = 2809
x^2 = 2809 - 2025
x^2 = 784
x = √784
x = 28 mm
Therefore, the correct length of the missing side is 28 mm, which corresponds to option B.
Let the unknown side be x. Using the Pythagorean theorem:
x^2 + 45^2 = 53^2
x^2 + 2025 = 2809
x^2 = 2809 - 2025
x^2 = 784
x = √784
x = 28 mm
Therefore, the correct length of the missing side is 28 mm, which corresponds to option B.