Area and Perimeter of Triangle in Coordinate Plane

This video tutorial explains how to find the perimeter and area of a triangle on a coordinate plane using three given points. It covers the use of the distance formula and Pythagorean theorem to calculate the perimeter by finding the distances between points. The tutorial also discusses how to determine the area using the base and height of the triangle, emphasizing the importance of identifying perpendicular sides for accurate measurements.

What is the perimeter of a triangle on a coordinate plane?

• The length of the longest side

• The area inside the triangle

• The difference between the longest and shortest sides

• The sum of the lengths of its sides

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

• Area formula

• Distance formula

• Volume formula

• Slope formula

How can the distance formula be simplified when using coordinate points?

• By using the slope formula

• By subtracting the coordinates

• By counting the units between points

• By using the area formula

What is the result of combining two radicals with the same radicand?

• A single radical with the same radicand

• A new radical with a different radicand

• The product of the radicands

• The sum of the radicands

Why is it important to simplify radicals when calculating perimeter?

• To make calculations easier

• To increase the perimeter

• To decrease the perimeter

• To change the shape of the triangle

What is the formula for the area of a triangle?

• Perimeter times height

• Base plus height

• 1/2 base times height

• Base times height

How do you determine the base and height of a triangle on a coordinate plane?

• By choosing any two sides

• By using the longest side as the base

• By using the shortest side as the height

• By identifying perpendicular sides

What is the relationship between the slopes of perpendicular lines?

• They are negative reciprocals

• They are equal

• They are both positive

• They are both negative

What happens when you multiply two identical square roots?

• You get a new square root

• You get the product of the radicands

• You get the sum of the radicands

• You get the square of the radicand

What is the significance of identifying perpendicular sides in a triangle?

• They are used to find the base and height

• They are not significant

• They help in calculating the perimeter

• They determine the longest side