Calculating Lengths and Coordinates

The video tutorial explains how to find the length of line segment CD given its coordinates. It starts with plotting the points on a coordinate plane and forming a right triangle. The horizontal and vertical distances are calculated, and the Pythagorean theorem is applied to find the length of CD. The final result is calculated and presented with precision.

What is the main objective of the problem discussed in the video?

• To solve a quadratic equation

• To calculate the length of line segment CD

• To find the area of a triangle

• To determine the midpoint of a line

What are the coordinates of point C?

• (0, 0)

• (5, 5)

• (8, 4)

• (2, -12)

What are the coordinates of point D?

• (2, -12)

• (8, 4)

• (0, 0)

• (5, 5)

Why is a right-angled triangle created in the process?

• To determine the slope of the line

• To calculate the perimeter of the triangle

• To simplify the calculation of the length of CD

• To find the area of the triangle

What is the horizontal distance between points C and D?

• 4 units

• 6 units

• 8 units

• 10 units

What is the vertical distance between points C and D?

• 14 units

• 18 units

• 16 units

• 12 units

Which theorem is used to calculate the length of CD?

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

• Pythagorean theorem

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

• a + b = c^2

What is the value of 6 squared?

• 18

• 12

• 42

• 36

What is the value of 16 squared?

• 128

• 256

• 196

• 144