Question

Определите вид треугольника АВС, если А (0;4), В (-3;5), С (-1;3). С Объяснение пожалуйста! Помогите пожалуйста!

Answer 1

Если построить эти точки на графике и соединить их, то получится что угол В равен 90 градусов, а значит этот треугольник прямоугольный.

Answer 2

Triangle ABC

To determine the type of triangle ABC, we can analyze the lengths of its sides. The coordinates of the vertices are as follows: A(0, 4) B(-3, 5) C(-1, 3)

To find the lengths of the sides, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the lengths of the sides AB, BC, and AC:

AB = sqrt((-3 - 0)^2 + (5 - 4)^2) = sqrt(9 + 1) = sqrt(10)BC = sqrt((-1 - (-3))^2 + (3 - 5)^2) = sqrt(4 + 4) = sqrt(8) = 2 * sqrt(2)AC = sqrt((-1 - 0)^2 + (3 - 4)^2) = sqrt(1 + 1) = sqrt(2) Now, let's analyze the lengths of the sides to determine the type of triangle ABC:

- If all three sides are equal, it is an equilateral triangle. - If two sides are equal, it is an isosceles triangle. - If all three sides are different, it is a scalene triangle.

Based on the lengths of the sides AB, BC, and AC, we can conclude that triangle ABC is a scalene triangle because all three sides have different lengths.

I hope this explanation helps! Let me know if you have any further questions.