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Bell Ringer

Practice using the Pythagorean Theorem to find missing sides of right triangles, and learn how to determine if a triangle is right or not based on its three sides. Also covers common right triangle ratios and multiples.

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Bell Ringer

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Presentation Transcript

  1. Bell Ringer

  2. Pythagorean Theorem 2.0 Mr. Haupt CC.2.1.8.A.2; CC.2.1.8.A.3

  3. Reverse, Reverse • You have practice using Pythagorean Theorem to find a missing side of a triangle that we know is a right triangle. • Now we are going to use it to decide if a triangle is right or not when you are given all three sides. • It is even easier than what we did yesterday. • All you have to do is plug in the values, and see if a2 + b2 really is equal to c2.

  4. Examples

  5. 45-45-90 and 30-60-90 • When the two legs are the same, the hypotenuse is the length of the leg times the square root of 2. So what are the lengths when both legs are 5? • If the angles measure 30, 60, and 90, then your short leg will be x, the longer leg will be x times the square root of 3, and the hypotenuse will be 2x.

  6. Common Triples • There are certain ratios where the sides of a right triangle are nice and neat and easy to remember. There are a lot of them, but these are the most common. • Multiples of these ratios also count. So for 3-4-5, we can also use 15-20-25 since if you reduce the numbers you still have 3-4-5. • 3-4-5 • 5-12-13 • 8-15-17

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