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Right Triangle Fun! 1. Get out a piece of paper. 2. Get out a pencil or pen. 3. Get out a calculator. Read each slide. Answer the questions The Pythagorean Theorem can be used to find the length of the missing side of a right triangle if you know the length of the other two sides. 5 12 X What kind of triangles does the Pythagorean Theorem work on? *** You can click the back button << to see the previous slide if you want to! Acute Triangles Right Triangles Obtuse Triangles Any kind of triangle The formula for the Pythagorean Theorem is: leg2 + leg2 = hypotenuse2 5 12 X What in the world are Legs or Hypotenuse? Legs always make a right angle! They Hypotenuse must be the longest! L E G H Y P LEG O T E N U S E L E G H Y P LEG O T E N Which side must be the longest? U S E leg hypotenuse It doesn't matter which way the triangle is facing. The legs always make the right angle and the side opposite the right angle is always the hypotenuse. hypotenuse leg leg z Which side is the hypotenuse? (click on the correct answer) x x y y z z If you picked y, you were correct!!! x x y y z Which side is the hypotenuse? (click on the correct answer) x z y x z y Did you pick the right answer? x z x y None of these, it's not a right triangle! Which side is the hypotenuse? (click on the correct answer) x z y x z y Just because it looks like a right triangle, doesn't mean it is. It has to be marked or labeled or some way let you know there is a right angle! Did you catch my trickery? z x y So how do we use this Pythagorean Theorem to find the missing side of a right triangle? Well, we've covered the first step already. First we have to identify the legs and the hypotenuse. The legs have lengths 3 and 4 and we don't know how long the hypotenuse is. x 4 3 Once we've identified the legs and hypotenuse, we substitute these for the letters in the formula. leg2 + leg2 = hyp2 (3)2 + (4)2 = (x)2 x 4 3 How long is the hypotenuse (c)? PICK ONE 100 50 10 100 = n2 is CORRECT!!! Which equation is correct? What letter or number is on the hypotenuse? What's the final answer for x? x2 + 452 = 362 x2 + 362 = 452 362 + 452 = x2 36 45 x Which equation is correct? What letter or number is on the hypotenuse? What's the final answer for x? x2 + 602 = 112 x2 + 112 = 602 112 + 602 = x2 60 x 11 The first equation should be x2 +252 =242 It's not a right triangle, so you can't use the Pythagorean Theorem The x2 =49 is wrong. I Have no idea x2 +242 =252 x2 +576=625 x2 =49 x = 7 Why is this problem WRONG? 24 25 x Which equation is correct? What letter or number is on the hypotenuse? What's the final answer for x? x2 + 162 = 342 x2 + 342 = 162 162 + 342 = x2 x 34 16 Which equation is correct? What letter or number is on the hypotenuse? What's the final answer for x? x2 + 22.52 = 142 x2 + 142 = 22.52 142 + 22.52 = x2 22.5 x 14 The first equation should be 62 +102 =x2 It's not a right triangle, so you can't use the Pythagorean Theorem The 102 - 62 isn't 42. I Have no idea x2 +62 =102 x2 =102 -62 x2 =42 x = 16 Why is this problem WRONG? x 90 10 6 The first equation should be 32 +x2 =42 It's not a right triangle, so you can't use the Pythagorean Theorem The x2 =25 is wrong. I Have no idea 32 +42 =x2 25 =x2 5 =x Why is this problem WRONG? 4 25 x 3 70 Which equation is correct? What letter or number is on the hypotenuse? What's the final answer for x? x2 + 20.82 = 56.082 x2 + 56.082 = 20.82 20.82 + 56.082 = x2 20.8 56.08 x 35 The next set of problems have a Right Triangle in them somewhere, so you'll have to find the triangle to solve it! 45 What Kind of Triangle is this? Acute Triangle Right Triangle Obtuse Triangle Not enough info Now do another quiz from your list! THE END |