Triangle Height Verification: Is the Given Line an Altitude?

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's find out if the straight line in the drawing is a height of the triangle.
00:08 Remember, a height starts at a corner of the triangle. It must also be perpendicular to the opposite side.
00:15 By sketching possible heights, we see that none match these rules.
00:19 So, the line isn't a height. And that's the answer!

Step-by-step written solution

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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 given line in the triangle is the height, we need to check if it satisfies the conditions of a triangle's altitude.

  • Step 1: Identify the base of the triangle. The problem suggests that the horizontal line, presumably at the bottom of the triangle, acts as the base.
  • Step 2: The altitude must be drawn from the vertex opposite to the base and be perpendicular to this base. Thus, the potential altitude would start at the apex of the triangle.
  • Step 3: The given figure features a straight line connecting two points on the interior of the triangle and is not perpendicular to the base.

Therefore, this line cannot be the height because it does not extend perpendicularly from the apex opposite the base to the base itself.

Thus, the correct answer is No.

3

Final Answer

No

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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