Question

Is ABC a right triangle? Show why or why not.

Answer 1

You'll need to provide the information on the triangle.

Answer 2

i know that it is not a right triangle because it does not have a right angle but i dont know how to show it.

Answer 3

It looks like you calculated the slopes of all the sides?

If you can multiply any two of them to get -1, then they form a right angle. If not, then they don't, and the triangle isn't a right triangle.

Answer 4

how do i multiply them?

Answer 5

They're just numbers. Multiply as normal. What were the slopes that you found?

Answer 6

Correct. Look at the first and last slopes.

\[\frac{3}{4} * \frac{-4}{3} = -1\]

So the triangle is a right triangle.

You can further confirm this by calculating the length of each side, and seeing that
\[(AB)^2 +(BC)^2 = (AC)^2\]

Answer 7

thank you :)

Answer 8

My pleasure :)