Which statement explains the Pythagorean Theorem? (1 point)
• 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 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 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 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.
The 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."
The 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."
Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle. (1 point)
• No, because 244 is not equal to 225.
• No, because 369 is not equal to 100.
• No, because 22 is not equal to 15.
• No, because 325 is not equal to 144.
No, because 325 is not equal to 144.
If the equation 18° + 62 = 30° is found to be true, what do we know about the triangle? (1 point)
• The triangle is a right triangle with a missing leg length of 24.
• The triangle is a right triangle, and the legs are 30 and 24.
• The triangle is a right triangle, and the hypotenuse is 18.
• The triangle is a right triangle with a missing side of 34.99.
What is a converse of a theorem that is an if-then statement? (1 point)
• The converse is the same as the original theorem.
• The if part and the then part switch places.
• The converse of a theorém has no relationship to the original theorem.
• The two parts are negated by using the word not.