explain the medians and altitude of triangle atleast 500 words
Answers
Answer:
median is a line segment drawn from the vertex of a triangle to the midpoint of the opposite side.
It splits the opposite side into two equal line segments. We know it's a median if we have those equal line segments. It's like knowing someone paid attention while getting dressed if his socks match.
Depending on how formal our triangle's outing is, we can have up to three medians, one from each vertex. When we draw three medians, they always meet at a single point.
Medians are kind of like belts. They divide triangles in two. In fact, the two new triangles formed by adding a median have equal areas. And these six triangles formed by three medians also have equal areas.
Altitude
So if medians are belts, what about earrings? Ok, this metaphor is venturing further into the unknown for me, but what happens with big earrings that are, um, dangly? They hang straight down, perpendicular to the ground, right? And why do they do that? Gravity.
And what's the triangle equivalent? Altitudes. An altitude is a perpendicular line segment drawn from a vertex of a triangle to the opposite side.
Altitude (triangle)
In our triangle here, if we draw a line from A perpendicular to the opposite side, it's an altitude. We could do this from any vertex, but we most commonly see it from the top.
Think of it like that earring. Gravity pulls it straight down. Unlike a median, an altitude doesn't necessarily split the opposite side into equal segments. In fact, it only will in two types of triangles.
In an equilateral triangle, all the angles are equal. Here, the altitude comes right down the middle and, in fact, is the same as the median.
Answer:
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