Question

point The vertices of a triangle are given. Classify the triangle as scalene, isosceles, or equilateral. (9,-2),(3,6),(-3,-2)

Answer 1

To classify the triangle, we compare the lengths of the three sides using the distance formula. The triangle in question is scalene as all three sides have different lengths.

Step-by-step explanation:

To classify the triangle as scalene, isosceles, or equilateral, we need to compare the lengths of the three sides.

Using the distance formula, we can calculate the lengths of the three sides:

1. Side 1: Distance between (9,-2) and (3,6)
2. Side 2: Distance between (3,6) and (-3,-2)
3. Side 3: Distance between (-3,-2) and (9,-2)

After calculating the lengths, we can determine that the triangle is scalene as all three sides have different lengths.