Question
Which statement explains the Pythagorean Theorem?(1 point)
Responses:
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.
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 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.
Responses:
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.
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 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.
Answers
Answered by
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 is typically 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 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 is typically 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 triangle.
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