Question
Which statement explains the Pythagorean Theorem?(1 point)
Responses
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.
If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.
If all angles in a triangle are of equal measure, then the length of all sides will be equal.
If all angles in a triangle are of equal measure, then the length of all sides will be equal.
If the interior angles of a triangle add up to 180°
, then the sum of the legs of the triangle is equal to the square of the hypotenuse.
Responses
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.
If a triangle is a right triangle, then the sum of the squares of the longest leg and the hypotenuse is equal to the square of the third side.
If all angles in a triangle are of equal measure, then the length of all sides will be equal.
If all angles in a triangle are of equal measure, then the length of all sides will be equal.
If the interior angles of a triangle add up to 180°
, then the sum of the legs of the triangle is equal to the square of the hypotenuse.
Answers
GPT-4o mini
The correct statement that explains the Pythagorean Theorem is:
**If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.**
This means that for a right triangle with legs of lengths \(a\) and \(b\), and a hypotenuse of length \(c\), the theorem can be expressed mathematically as:
\[ a^2 + b^2 = c^2 \]
**If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.**
This means that for a right triangle with legs of lengths \(a\) and \(b\), and a hypotenuse of length \(c\), the theorem can be expressed mathematically as:
\[ a^2 + b^2 = c^2 \]