the triangle is a RIGHT TRIANGLE.

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the triangle is a RIGHT TRIANGLE. Pythagorean Theorem If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2 . Proof that the formula works! 1. Find the length of the missing leg. 9ft 15ft x CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the triangle is a RIGHT TRIANGLE. 2. Which of these sets of 3 numbers could represent the sides of a right triangle? I. 5, 7, 9 II. 5, 12, 13 A. Neither I nor II B. I only C. II only D. Both I and II FAMOUS PYTHAGOREAN TRIPLES:

(You may use a calculator on this one.) A. 48 B. 63 C. 90 D. 126 NAEP Question, Pre-Algebra 3. In the right triangle, what is the length of AB? A. 8.5 B. 12 C. 13 D. 17 E. 30 ACT Question, Pre-Algebra 4. If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle? (You may use a calculator on this one.) A. 48 B. 63 C. 90 D. 126 E. 252 CCSD Pre-Algebra 8 2010-2011 Exam Released Question 5. A plane traveled 15 miles west then 20 miles due north. It then flies on a diagonal path directly back to its starting point. Draw and label a diagram of the plane’s route. Determine the distance of the diagonal path the plane traveled. Show your work. ACT Question, Pre-Algebra 6. A ladder is 10 feet long and reaches 8 feet up a wall, as shown below. How many feet is the bottom of the ladder from the base of the wall?