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Exploration #1 - Triangle Altitude

Author:ANA BERG, Tim Brzezinski, Stephanie Omobono

1.

Slide the point labeled "slide me". The purple segment that will appear is said to be an ALTITUDE OF A TRIANGLE. What about the diagram tells us that the purple segment is in fact an altitude?

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  • A
  • B
  • C
Check my answer (3)
Move the blue vertex of the triangle around to discover relationships. Answer the questions that appear below the applet.

2.

Is it ever possible for a triangle's altitude to lie inside the triangle? I(f this is possible, slide the vertex of the applet above to show this.)

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  • A
  • B
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3.

In which type of triangles is the altitude located INSIDE? Classify it using the angle measures.

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4.

Is it ever possible for a triangle's altitude to lie ON the triangle itself? That is, can an altitude of a triangle ever be the same as ONE SIDE of the triangle?

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  • A
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In which type of triangles is the altitude located ON the triangle?Classify it using the angle measures.

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  • A
  • B
  • C
Check my answer (3)

5.

Is it ever possible for a triangle's altitude to lie entirely OUTSIDE the triangle?

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  • A
  • B
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6.

In which type of triangles is the altitude located OUTSIDE the triangle?Classify it using the angle measures.

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  • A
  • B
  • C
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7.

Given your responses to these questions... Fill in what you discovered into your class notes.

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  • A
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