Question
Which math sentence can be used to determine if this triangle is a right triangle?
A triangle has side lengths 21, 20, and hypotenuse 29.
20 + 21 = 29
20 squared + 21 squared = 29 squared
29 + 21 = 20
29 squared + 21 squared = 20 squared
A triangle has side lengths 21, 20, and hypotenuse 29.
20 + 21 = 29
20 squared + 21 squared = 29 squared
29 + 21 = 20
29 squared + 21 squared = 20 squared
Answers
GPT-4o mini
To determine if a triangle with side lengths 21, 20, and a hypotenuse of 29 is a right triangle, you can use the Pythagorean theorem. The appropriate math sentence in this case is:
**20 squared + 21 squared = 29 squared**
This corresponds to the equation \( a^2 + b^2 = c^2 \) where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
You can calculate:
- \( 20^2 = 400 \)
- \( 21^2 = 441 \)
- \( 29^2 = 841 \)
Now check if:
\( 400 + 441 = 841 \)
If this holds true, then the triangle is a right triangle.
**20 squared + 21 squared = 29 squared**
This corresponds to the equation \( a^2 + b^2 = c^2 \) where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
You can calculate:
- \( 20^2 = 400 \)
- \( 21^2 = 441 \)
- \( 29^2 = 841 \)
Now check if:
\( 400 + 441 = 841 \)
If this holds true, then the triangle is a right triangle.