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# 2.4 Scaling Triangles

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Last updated 26 October 2012 15:30 by NZTecAdmin

Ask learners to make a triangle with sides 35 mm, 50 mm, and 60 mm. Ask them to make another triangle similar to the first.

To make a similar triangle, all of the sides must be scaled up or down by the same factor.

Ask learners to make a triangle using 2 full-lengths and 1 half-length pipe cleaner. How many possibilities are there?

Ask the learners to lengthen the short side of the triangle from ½ -length to around 2/3-length. How do they have to change the triangle to fit the longer 3rd side in?

If we increase the length of a side, we have to increase the size of the angle opposite the side.

If we increase one side, hence one angle, the other angles become smaller.

The longest side is opposite the largest angle.

So there is proportionality between the angles and the sides of a triangle.

• Section 2

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