Question
Question
Which statement explains the Pythagorean Theorem?(1 point)
Responses
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 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 the interior angles of a triangle add up to 180°
180
°
, then the sum of the legs of the triangle is equal to the square of the hypotenuse.
If the interior angles of a triangle add up to 180 degrees , then the sum of the legs of the triangle 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.
Which statement explains the Pythagorean Theorem?(1 point)
Responses
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 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 the interior angles of a triangle add up to 180°
180
°
, then the sum of the legs of the triangle is equal to the square of the hypotenuse.
If the interior angles of a triangle add up to 180 degrees , then the sum of the legs of the triangle 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.
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 can be expressed mathematically as \( a^2 + b^2 = c^2 \), where \( c \) is the length of the hypotenuse and \( a \) and \( b \) are the lengths of the other two sides (legs) of the right triangle.
**"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 can be expressed mathematically as \( a^2 + b^2 = c^2 \), where \( c \) is the length of the hypotenuse and \( a \) and \( b \) are the lengths of the other two sides (legs) of the right triangle.