<p>Name:______Assignment:______Investigation: The Pythagorean Theorem 1. The values in the chart represent the sides of a right triangle. Complete the chart.</p><p>Leg1 Leg2 Hyp (Leg1)2 (Leg2)2 (Leg1)2 + (Leg2)2 Hyp2 Hypotenuse 3 4 5 Leg 5 12 13 3 4 1 5 5 0.9 1.2 1.5 Leg</p><p>2. In a right triangle the side opposite the right angle is the longest side and also called the hypotenuse. Compare the legs and hypotenuse values above. Is our hypotenuse always the longest?</p><p>3. Compare the value of (Leg1)2 + (Leg2)2 for each row in the table to the value of Hyp2.</p><p>Name:______Assignment:______Investigation: The Pythagorean Theorem 1. The values in the chart represent the sides of a right triangle. Complete the chart.</p><p>Leg1 Leg2 Hyp (Leg1)2 (Leg2)2 (Leg1)2 + (Leg2)2 Hyp2 Hypotenuse 3 4 5 Leg 5 12 13 3 4 1 5 5 0.9 1.2 1.5 Leg</p><p>2. In a right triangle the side opposite the right angle is the longest side and also called the hypotenuse. Compare the legs and hypotenuse values above. Is our hypotenuse always the longest?</p><p>3. Compare the value of (Leg1)2 + (Leg2)2 for each row in the table to the value of Hyp2. 4. Complete the following statement: For a right triangle, the square of the longest side ______the sum of the squares of the other two sides.</p><p>5. The Pythagorean Theorem: In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. (Leg1)2 + (Leg2)2 = Hyp2</p><p>6. Determine whether the given lengths could be the sides of a right triangle. a. 9, 12, 15 b. 1, 2, 3</p><p> c. 2, 4, 5 d. 16, 30, 34</p><p> e. 4, 4, 8 f. 10, 24, 26</p><p>7. Find the length of the missing side. a. leg = 6, leg = 8 b. leg = 15, leg = 20</p><p> c. (be careful!) leg = 3, hyp = 5 d. leg = 5, hyp = 9</p><p>4. Complete the following statement: For a right triangle, the square of the longest side ______the sum of the squares of the other two sides.</p><p>5. The Pythagorean Theorem: In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. (Leg1)2 + (Leg2)2 = Hyp2</p><p>6. Determine whether the given lengths could be the sides of a right triangle. a. 9, 12, 15 b. 1, 2, 3</p><p> c. 2, 4, 5 d. 16, 30, 34</p><p> e. 4, 4, 8 f. 10, 24, 26</p><p>7. Find the length of the missing side. a. leg = 6, leg = 8 b. leg = 15, leg = 20</p><p> c. (be careful!) leg = 3, hyp = 5 d. leg = 5, hyp = 9 </p>