Which statement explains Pythagorean theorem?
A. If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse.
B. If all angles in a triangle area of equal measure, then the length of all sides will be equal
C. 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
D. 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.
A. 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 equation 18 ^ 2 + b^ 2 =30 ^ 2 is found to be true, what do we know about the triangle?
A. The triangle is a right triangle with a missing side of 34.99
B. The triangle is a right triangle and the hypotenuse is 18
C. The triangle is a right triangle in the legs are 30 and 24
D. The triangles are right triangle with a missing leg length of 24
D. The triangle is a right triangle with a missing leg length of 24.
What is a converse of a theorem that is an if-then statement?
A. The if part and the then part switch places
B. The converse is the same as the original theorem
C. The two parts are negated by using the word not
D. The converse of the theorem has no relationship to the original theorem
A. The if part and the then part switch places.
The correct statement that explains the Pythagorean theorem is A. "If a triangle is a right triangle, then the sum of the squares of the legs is equal to the square of the hypotenuse."
To understand the Pythagorean theorem, it helps to visualize a right triangle, which is a triangle with one of its angles measuring 90 degrees (a right angle). In a right triangle, the two sides that form the right angle are called the legs, and the side opposite the right angle is called the hypotenuse.
The Pythagorean theorem states that the sum of the squares of the length of the legs is equal to the square of the length of the hypotenuse. Mathematically, it can be written as:
a^2 + b^2 = c^2
Where 'a' and 'b' represent the lengths of the legs, and 'c' represents the length of the hypotenuse.
So, option A accurately explains the Pythagorean theorem.