Distance Formula

What is the longest side of a right triangle called?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

What is the significance of the hypotenuse in the Pythagorean Theorem?

• The hypotenuse is the side opposite the right angle and is always the longest side in a right triangle.

• The hypotenuse is the shortest side in a right triangle.

• The hypotenuse is the side adjacent to the right angle.

• The hypotenuse is the side that forms the right angle.

What is the Distance Formula?

• d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

• d = \frac{y_2 - y_1}{x_2 - x_1}

• d = (x_2 - x_1) + (y_2 - y_1)

• d = \sqrt{(x_2 + x_1)^2 + (y_2 + y_1)^2}

What does the term 'leg' refer to in a right triangle?

• A 'leg' refers to either of the two shorter sides of a right triangle that form the right angle.

• A 'leg' refers to the longest side of a right triangle opposite the right angle.

• A 'leg' refers to the angle formed by the two shorter sides of a right triangle.

• A 'leg' refers to the area of the right triangle formed by the two shorter sides.

What is the relationship between the sides of a right triangle?

• In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

• The sum of the lengths of any two sides is always greater than the length of the third side.

• The hypotenuse is always the shortest side of the triangle.

• The angles opposite the longest sides are always equal.

If the legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

• 4

• 5

• 6

• 7

What is the formula for finding the distance between two points on a number line?

• d = |x_2 - x_1|

• d = x_2 + x_1

• d = |x_2 + x_1|

• d = x_2 - x_1

If one leg of a right triangle is 14 and the other leg is 27, what is the length of the hypotenuse?

• 25

• 31

• 35

• 30

What is the Pythagorean Theorem?

• In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): @@a^2 + b^2 = c^2@@.

• The sum of the angles in a triangle is equal to 180 degrees.

• The area of a triangle is equal to half the base times the height.

• In any triangle, the longest side is always opposite the largest angle.

What does 'undefined' mean in the context of distance?

• 'Undefined' means that the distance cannot be calculated, often because the points are the same or not defined.

• 'Undefined' indicates that the distance is infinite and cannot be measured.

• 'Undefined' refers to a situation where distance is measured in a non-standard unit.

• 'Undefined' means that the distance is a fixed value of zero.