Question

Triangle ABC has vertices located at A( 0, 2), B (2, 5), and C (−1, 7).

Part A: Find the length of each side of the triangle. Show your work. (4 points)

Part B: Find the slope of each side of the triangle. Show your work. (3 points)

Part C: Classify the triangle. Explain your reasoning.

Answer 1

Do you know the distance formula?

\( \Large\text{Distance} = \sqrt{ (\color{cyan}{x_2} -\color{red}{x_1})^2 + (\color{green}{y_2} - \color{orange}{y_1)}^2 } \)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

Answer 2

yes

Answer 3

We need to calculate the length of three sides

so we have to find the distance between

A \((\color{red}{0}, \color{orange}{2})\) and B \((\color{cyan}{2}, \color{green}{5})\)
AB = ??

B \((\color{red}{2}, \color{orange}{5})\) and C \((\color{cyan}{-1}, \color{green}{7})\)
BC = ??

A \((\color{red}{0}, \color{orange}{2})\) and C \((\color{cyan}{-1}, \color{green}{7})\)
AC = ??

Answer 4

We can do one at a time? What's the distance between A and B?

A \((\color{red}{0}, \color{orange}{2})\) and B \((\color{cyan}{2}, \color{green}{5})\)

Answer 5

Use the distance formula