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IM2.6.7 Similar right triangles 1

SRT 1

1. Below, construct square ABCD using the Regular Polygon tool Toolbar Image. 2. Construct segments Toolbar Image AC (diagonal), CD, DA.

SRT 1: Compare

Compare your segment lengths with those of your partner. 1. Are your segments all the same length? 2. Calculate the ratios  and compare these with your partner. Are your ratios the same? 3. Explain why your last answer has to be true.

Image

4. The triangle above is one of the special right triangles we'll be working with. It's called a 45-45-90 triangle, or an isosceles right triangle. Use the Pythagorean theorem to calculate exactly h in terms of L and L in terms of h. h=? L=?