Calculate the Height of Triangle ABC: Perpendicular Distance Problem

Question

Given the following triangle:

Write down the height of the triangle ABC.

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Video Solution

Solution Steps

00:00 What is the height in a triangle?
00:03 The height in a triangle is a perpendicular line from a vertex to the opposite side:
00:08 At the intersection point, the angle between the lines is right (90 degrees)
00:12 And this is the solution to the question

Step-by-Step Solution

An altitude in a triangle is the segment that connects the vertex and the opposite side, in such a way that the segment forms a 90-degree angle with the side.

If we look at the image it is clear that the above theorem is true for the line AE. AE not only connects the A vertex with the opposite side. It also crosses BC forming a 90-degree angle. Undoubtedly making AE the altitude.

Answer

AE

More Questions

Related Subjects

The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Exterior angles of a triangle

Question Types

Parts of a Triangle: Identifying and defining elements