Classify triangles by distance formula

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What are the three types of triangles based on side lengths?

Back

Equilateral, Isosceles, Scalene

Front

What defines an equilateral triangle?

Back

A triangle with all three sides of equal length.

Front

What defines an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What defines a scalene triangle?

Back

A triangle with all sides of different lengths.

Front

How can you determine if a triangle is equilateral using the distance formula?

Back

Calculate the lengths of all three sides; if all are equal, the triangle is equilateral.

Front

How can you determine if a triangle is isosceles using the distance formula?

Back

Calculate the lengths of all three sides; if at least two are equal, the triangle is isosceles.

Front

How can you determine if a triangle is scalene using the distance formula?

Back

Calculate the lengths of all three sides; if all are different, the triangle is scalene.

Front

Given points A(1, 2), B(1, 5), and C(4, 2), classify the triangle ABC.

Back

Isosceles (AB = AC) because two sides are equal.

Front

Given points A(0, 0), B(3, 4), and C(6, 0), classify the triangle ABC.

Back

Scalene (all sides are different lengths).