Triangle Height Verification: Analyzing a Perpendicular Line in Geometry

Is the straight line in the figure the height of the triangle?

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Step-by-step video solution

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00:00 Determine whether the straight line in the drawing is a height in the triangle
00:03 A height in a triangle extends from one of the triangle's vertices and is also perpendicular to the side
00:06 Therefore this line is the height, and that is the solution to the question

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1

Understand the problem

Is the straight line in the figure the height of the triangle?

2

Step-by-step solution

To determine if the straight line in the figure is the height of the triangle, we need to ensure it is a line that starts from a vertex of the triangle and is perpendicular to the opposite side, known as the base. In the context of geometry, this line is called an altitude.

According to the given figure, the straight line appears to stem from one vertex of the triangle and intersect the base at a right angle, as indicated by a small square or a perpendicular marker at their intersection.

Since the line in question meets the definition of an altitude (perpendicular from a vertex to the opposite side), it indeed represents the height of the triangle relative to that specific base.

Hence, the answer to the problem is Yes.

3

Final Answer

Yes

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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