Exploring Distance Calculation with the Pythagorean Theorem

What is the purpose of drawing a right triangle to find the distance between two points?

• To visualize the problem better

• To apply the Pythagorean Theorem

• To make the calculation more complex

• To avoid using the Pythagorean Theorem

What does the hypotenuse of the right triangle represent in this context?

• The width of the triangle

• The area of the triangle

• The height of the triangle

• The distance between the two points

How is the length of the side parallel to the X-axis determined?

• By subtracting the X-coordinates

• By adding the X-coordinates

• By subtracting the Y-coordinates

• By counting the grid spaces

What is the significance of the coordinates (-5, 8) and (4, 6)?

• They determine the triangle's area

• They are used to calculate the triangle's height

• They help in finding the lengths of the triangle's sides

• They are irrelevant to the problem

What does the length of the side parallel to the Y-axis represent?

• The change in Y-coordinate

• The perimeter of the triangle

• The total area of the triangle

• The change in X-coordinate

What formula is used to calculate the distance between the two points?

• A squared + B squared = C squared

• A + B = C

• A x B = C

• A cubed + B cubed = C cubed

What is the value of C squared in this example?

• 81

• 4

• 85

• 9

Why is the Pythagorean Theorem applicable in this scenario?

• Because we are dealing with a right triangle

• Because the triangle is isosceles

• Because we are calculating the area

• Because the triangle is equilateral

How can the square root of 85 be simplified?

• It cannot be simplified further

• As a decimal

• As a perfect square

• As a fraction

What is the final step to find the distance between the two points?

• Adding the lengths of all sides

• Finding the square root of C squared

• Multiplying the sides by two

• Calculating the area of the triangle