1. In this applet, you’ll see a [b]purple segment[/b] appear. This segment is called an [b]altitude[/b] of the triangle.[br][br]2. [b]Click and drag the triangle’s vertices,[/b] especially the [b]blue vertex[/b], to create different triangle shapes.[br][br]3. [b]Slide the slider[/b] to activate the altitude and observe how it behaves.[br][br]4. Watch where the altitude falls in relation to the triangle—it might be [b]inside[/b], [b]on[/b], or [b]outside[/b] the triangle depending on its shape.[br][br]5. Take a few minutes to explore and test different triangle types (acute, right, obtuse).[br][br]6. If you’re unsure, scroll to the bottom of the page and watch the[b] “Quick (Silent) Demo.”[/b]
1. Is it ever possible for a triangle’s [b]altitude[/b] to lie [b]inside[/b] the triangle? Explain.
2. Can an altitude ever lie [b]on the triangle itself [/b](for example, as one of the sides)?[br][br]If so, what kind of triangle would make this happen?
3. Is it ever possible for an altitude to lie [b]entirely outside[/b] the triangle? If yes, under what condition?
4. Based on your observations, [b]complete this sentence[/b] in your own words:[br][br]An altitude of a triangle is…[br][br][color=#ff0000]DO NOT google the term and give me a definition :)[/color]