Understanding Perimeter and Area of a Triangle on a Coordinate Plane

This video tutorial explains how to find the perimeter and area of a triangle given three coordinate points on a coordinate plane. It covers the use of the distance formula, simplifying calculations using counting and the Pythagorean theorem, and determining the perimeter by summing the side lengths. The video also discusses how to identify the base and height to calculate the area, emphasizing the importance of perpendicular lines for accurate measurements.

What is the perimeter of a triangle?

• The length of the longest side

• The area inside the triangle

• The sum of the lengths of its sides

• The difference between the longest and shortest sides

Which formula is used to find the distance between two points on a coordinate plane?

• Distance formula

• Slope formula

• Midpoint formula

• Area formula

How can the distance formula be simplified when working with coordinate points?

• By using the midpoint formula

• By counting the units between points

• By using the area formula

• By ignoring the y-coordinates

What is the relationship between the distance formula and the Pythagorean theorem?

• Both are used to find the area of a triangle

• The Pythagorean theorem is derived from the distance formula

• They are unrelated

• The distance formula is derived from the Pythagorean theorem

When combining radicals, what must be true for them to be combined?

• They must have the same base

• They must have the same radicand and index

• They must be integers

• They must be perfect squares

What is the formula for the area of a triangle?

• Half of base times height

• Base minus height

• Base times height

• Base plus height

How can you identify the base and height of a triangle on a coordinate plane?

• By finding perpendicular sides

• By using the shortest side as the height

• By choosing any two sides

• By using the longest side as the base

What is a key indicator that two sides of a triangle are perpendicular?

• Their slopes are negative reciprocals

• They have the same slope

• They are equal in length

• They are parallel

If the base of a triangle is 5 units and the height is 3 units, what is the area?

• 15 square units

• 7.5 square units

• 8 square units

• 10 square units

What should you do if a triangle on a coordinate plane does not have a clear perpendicular side?

• Ignore the height

• Rotate the triangle to find perpendicular sides

• Use any side as the base

• Use the longest side as the height