Question

Question 1 (10 points)

Answer 1

A. AB = √13 units; BC = √13 units; AC = √26 units

B. Slope of AB = 3/2; Slope of BC = -3/2; Slope of AC = -5

C. The triangles have two equal sides, therefore, it is an isosceles triangle.

How to Find the Slope and Length Between Two Points?

Slope (m) = change in y / change in x.

To find the length of each side, use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

Given the following vertices:

A(0, 2),

B(2, 5),

C (-1, 7)

Part A:

AB = √[(2−0)² + (5−2)²]

AB = √13 units

BC = √[(2−(−1))² + (5−7)²]

BC = √13 units

AC = √[(0−(−1))² + (2−7)²]

AC = √26 units

Part B:

Slope of AB = (5 - 2)/(2 - 0)

Slope of AB = 3/2

Slope of BC = (7 - 5)/(-1 - 2)

Slope of BC = -3/2

Slope of AC = (7 - 2)/(-1 - 0)

Slope of AC = -5

Part C:

The triangles have two equal sides, therefore, it is an isosceles triangle.

Learn more about slope on:

brainly.com/question/19376563

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