Triangle ABC: Identifying the Correct Height Line

Question

Which of the following is the height in triangle ABC?

AAABBBCCCDDD

Video Solution

Solution Steps

00:00 Determine the height of the triangle
00:03 The height in a triangle is a perpendicular line from a vertex to the opposite side
00:07 At the intersection point, the angle between the lines is a right angle
00:21 In a right triangle, the 2 legs can be considered as heights
00:24 This is the solution

Step-by-Step Solution

Let's remember the definition of height of a triangle:

A height is a straight line that descends from the vertex of a triangle and forms a 90-degree angle with the opposite side.

The sides that form a 90-degree angle are sides AB and BC. Therefore, the height is AB.

Answer

AB