Question

Geometry Help Please

Answer 1

To determine if ABC is a right angle triangle, we need to check whether two lines are perpendicular, in other words, an intersection of 90°.

When two lines are perpendicular to each other, then their slope multiplied to give -1

Formula to find steepness slope is vertical distance ÷ horizontal distance

Slope AB =
`-(3)/(2)`
Slope BC =
`(2)/(3)`

Slope AB is a negative slope while BC is a positive slope

Slope AB × Slope BC =
`- (3)/(2)`×
`(2)/(3)` = -1

Angle ABC is right angle, hence triangle ABC is a right-angled triangle