Question
A)
In ΔABC, ∡A is a right angle, and m∡B = 45°.
right triangle
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
(1 point)
Responses
11 ft
11 ft
11 square root 2 ft
Image with alt text: 11 square root 2 ft
11 square root 3 ft
Image with alt text: 11 square root 3 ft
22 ft
In ΔABC, ∡A is a right angle, and m∡B = 45°.
right triangle
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
(1 point)
Responses
11 ft
11 ft
11 square root 2 ft
Image with alt text: 11 square root 2 ft
11 square root 3 ft
Image with alt text: 11 square root 3 ft
22 ft
Answers
GPT 3.5
In a right triangle with a 45° angle, the sides are in a ratio of 1:1:√2. Since the right angle is at angle A, side BC is opposite the 45° angle and is equal to 11√2 ft. Therefore, the length of BC is 11√2 ft.
The correct answer is: 11√2 ft
The correct answer is: 11√2 ft