Question

Consider the following points. (−8,−1),(3,−8) and (3,−1) step 1 of 2 : determine whether or not the given points form a right triangle. if the triangle is not a right triangle, determine if it is isosceles or scalene.

Answer 1

To determine whether or not the given points form a right triangle, we need to calculate the lengths of all three sides of the triangle and check if they satisfy the Pythagorean theorem. If the triangle is not a right triangle, we can determine if it is isosceles or scalene by comparing the lengths of the sides.

Step-by-step explanation:

To determine whether or not the given points form a right triangle, we need to calculate the lengths of all three sides of the triangle and check if they satisfy the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate the lengths of the sides using the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)

By calculating the lengths of the sides, we find that the given points do not form a right triangle. To determine if it is isosceles or scalene, we compare the lengths of the sides. If all the sides have different lengths, then the triangle is scalene. If two sides have equal lengths, then the triangle is isosceles.