IM2.6.7 Similar right triangles 1
SRT 1
1. Below, construct square ABCD using the Regular Polygon tool .
2. Construct segments 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.
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=?