Calculate the Height of Triangle ABC: Perpendicular Distance Problem

Given the following triangle:

Write down the height of the triangle ABC.

AAABBBCCCEEEDDD

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Step-by-step video solution

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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:
00:08 At the intersection point, the angle between the lines is a right angle (90 degrees)
00:12 This is the solution

Step-by-step written solution

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1

Understand the problem

Given the following triangle:

Write down the height of the triangle ABC.

AAABBBCCCEEEDDD

2

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.

3

Final Answer

AE

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Can a triangle have a right angle?

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