McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. The Triangle Inequality
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Exercise 47 Page 451

You can draw an isosceles triangle by considering any point on the perpendicular bisector of the 2-inch segment. Pick the appropriate point for each case.

Example Solution:

Practice makes perfect

Let's consider a 2-inch segment AB. Next, we will consider its perpendicular bisector.

Now, we consider a point C on the perpendicular bisector. This point satisfies that AC=BC. Next, we will move this point up so that AC> 2 in. Using a protractor, we can find the measure of ∠ A and ∠ B.

We have drawn the first required triangle. Doing a similar process we can draw the second triangle, just keep in mind that AB must be the longest side. As an example, below we show two possible isosceles triangles.

Notice that this is just one way to draw the required triangles, and so your answer may vary.