Triangle Side Analysis: Is AB Perpendicular to BC in a Right-Angled Triangle?

Question

Is side AB perpendicular to side BC in the right-angled triangle below?

AAABBBCCC

Video Solution

Solution Steps

00:00 Is AB perpendicular to BC?
00:03 Perpendicular creates a right angle at the intersection point between the lines
00:06 We have a right angle between AB and BC, therefore they are perpendicular
00:09 And this is the solution to the question

Step-by-Step Solution

Remember that perpendicular lines are lines that form a 90-degree angle.

We will examine this by drawing the letter T at the intersection point of lines AB and BC as follows:

90°90°90°AAABBBCCCIt seems from the drawing that the angle formed between the lines is a right angle, therefore side AB is indeed perpendicular to side BC.

Answer

Yes