1. Geometry/Trig 2Name: ________________________________ Pythagorean Theorem Problem SolvingDate: _________________________________ Directions: Complete each problem by utilizing Pythagorean theorem. Draw a diagram for each scenario. Show all work. 3. A rectangle has a width of 2 feet and a diagonal of 30 inches. Find the length of the rectangle in inches. 2. A rectangle has a width of 4 yards and a length of 5 feet. Find the length of the diagonal in feet. 1. A rectangle has a width of 4 feet and a length of 6 feet. Find the length of the diagonal in feet. 4. Firefighters have a 17 foot extension ladder. In order to reach 15 feet up a building, how far away from the building should the foot of the ladder be placed? Hint: Convert all units to feet first. Hint: Convert all units to inches first. Answer: ____________

2. Geometry/Trig 2Name: ________________________________ Pythagorean Theorem Problem SolvingDate: _________________________________ Directions: Complete each problem by utilizing Pythagorean theorem. Draw a diagram for each scenario. Show all work. 5. You have locked yourself out of your house. You know that a window on the second floor is unlocked. The bottom of the window is 24ft above the ground. You also know that there is a flower garden directly below the window that extends out 7ft. At least how long must your ladder be to help you get in the house. (The ladder may not be placed inside the garden.) 7. Mark wants to swim across a river that is 40 meters wide. He begins swimming perpendicular to the shore he started from but ends up 30 meters down river from where he started because of the current. How far did he actually swim from his starting point? 6. George rides his bike 9 KM south and then 12 KM east. How far is he from his starting point? Answer: ____________

3. 1) If one leg of a right triangle is 12 and the other leg is 16, what is the length of the hypotenuse in this right triangle? 2) The measures of three sides of a triangle are given. Determine whether a triangle with sides 9, 40 and 41 is a right, acute, or obtuse triangle. Show all work. 3) Find the length of the hypotenuse of a right triangle, if one leg is 15 and one leg is 8. 4) The legs of a right triangle have lengths a and b. The hypotenuse has length c. Find the unknown length for each triangle. (i) b = 18, c = 82 (ii) a = 12, c = 37 (iii) a = 11 and c = 61. Geometry/Trig 2Name: __________________________ Pythagorean Theorem Practice 3Date: ___________________________

4. Geometry/Trig 2Name: __________________________ Pythagorean Theorem Practice 3Date: ___________________________ 6) The measures of three sides of a triangle are 9, 16, and 20. Determine whether the triangle is a right triangle. Show all work. 7) The size of a television screen is given by the length of the diagonal of the screen. What size is a television screen that is 21.6 inches wide and 16.2 inches high? 8) If the diagonal of a rectangle measures 60 inches and one side measures 48 inches, what is the length of the other side of the rectangle? 9) Alex leaned a 17 foot ladder against the house. The bottom of the ladder is 8 feet from the house. How high up the side of the house is the top of the ladder?