Question

Draw triangle ABC. Is it a right triangle? If yes, how do you know?
(use slopes to justify)

Answer 1

@ganeshie8 could you maybe help me with this. I figured out the slopes.

Answer 2

so looks like you have calculated the slopes already

Answer 3

Yeah

Answer 4

good, what do you know about a right triangle ?

Answer 5

there will be two perpendicular sides in a right triangle, yes ?

Answer 6

there is a relation between `slopes` when lines are perpendicular

Answer 7

if the product of slopes is -1, the lines are perpendicular

Answer 8

multiply the slopes of AB and BC
what do you get ?

Answer 9

you get -1

Answer 10

that means AB is perpendicular BC
and that also means the triangle is very much a right triangle

Answer 11

Thank you very much.

Answer 12

yw!