Graph the triangle with the given vertices. Find the length...

Graph the triangle with the given vertices. Find the length and the slope of each side of the triangle. Then find the coordinates of the midpoint of each side. Is the triangle a right triangle? isosceles? Explain. (Assume all variables are positive and $\quad \mathrm{m} \neq \mathrm{n} . )$ (See Example 3.) $$A(0,0), B(h, h), C(2 h, 0)$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Transcript

00:01 The triangle that has the following vertices.

00:02 So let's start with our a.

00:04 A is at zero -zero.

00:07 So now i'm doing this in terms of h.

00:09 So i'm going to put h on here.

00:10 Here's h.

00:12 Here's 2h.

00:13 Here's going to be h.

00:14 Here's going to be 2h.

00:17 So we have one point that's going to be at 2h0.

00:20 So there's that point.

00:22 Here's that point.

00:23 And we have another point at h -h.

00:25 So there's our triangle.

00:27 Now what do we want to know? we want to know the point of each side and we want to know is this going to be a right triangle so we've got to find the length and the slope of each side the coordinates of the midpoint of each side and just is it a what kind of triangle is it well let's see here let's go ahead and the midpoint let's see let me get different colors here midpoint here is going to obviously be age zero so that's easy so now we look at the midpoint of this line we're going to average my xx and average my y's.

01:05 So that's going to be the point 2h 0.

01:08 So that means we're going to have 3h over 2 and h over 2 is that midpoint.

01:15 And then here let's look at this midpoint.

01:17 Let me do it in this one.

01:19 Then that's going to be averaging my x's that's going to end my y's.

01:23 It's going to be the midpoint of h over 2, h over 2...

Question

Please give Ace some feedback