Question
Which math sentence can be used to determine if this triangle is a right triangle?
A triangle has side lengths 12, 15, 18.
12 + 15 = 18
12 squared + 15 squared = 18 squared
12 + 18 = 15
12 squared + 18 squared = 15 squared
A triangle has side lengths 12, 15, 18.
12 + 15 = 18
12 squared + 15 squared = 18 squared
12 + 18 = 15
12 squared + 18 squared = 15 squared
Answers
GPT-4o mini
To determine if a triangle is a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.
In this case, the sides of the triangle are 12, 15, and 18. The longest side is 18, so you would apply the theorem as follows:
\( a^2 + b^2 = c^2 \)
Where \( a = 12 \), \( b = 15 \), and \( c = 18 \).
The correct math sentence to check if this is a right triangle is:
**12 squared + 15 squared = 18 squared.**
So, the option you should choose is:
**12 squared + 15 squared = 18 squared.**
In this case, the sides of the triangle are 12, 15, and 18. The longest side is 18, so you would apply the theorem as follows:
\( a^2 + b^2 = c^2 \)
Where \( a = 12 \), \( b = 15 \), and \( c = 18 \).
The correct math sentence to check if this is a right triangle is:
**12 squared + 15 squared = 18 squared.**
So, the option you should choose is:
**12 squared + 15 squared = 18 squared.**