Pythagorean Theorem Practice

Master the Pythagorean Theorem with practice problems and real-world examples. Calculate missing sides and identify triples!

What is the formula we use to find the missing side of a right triangle? pi*r2 a2+b2=c2 LxwH Parts of a Right Triangle Label the parts of the triangle leg leg hypotenuse Classify the following as a Pythagorean Triple (creating a right triangle), or NOT a Pythagorean Triple Pythagorean Triples 3,4,5 5,12,13 15, 17,8 NOT a Pythagorean Triple 2,5,6 7,9,10 16,31,25 A water slide starts 6 m above the water and extends another 11 m horizontally. What is the length of the slide to the nearest tenth of a meter? 10.2 m 12.5 m 17.64 m A rectangular park is 600 m long and 300 m wide. You walk diagonally across the park from corner to corner. How far do you walk, to the nearest meter? 671 m 600 m 700 m 50 m A large tent has an adjustable center pole. A rope 26 ft long connects the top of the pole to a peg 24 ft from the bottom of the pole. What is the height of the pole? Round to the nearest hundredth if necessary. (Hint: draw and label a diagram to help you get started) 110 ft 75.25 ft 10 ft A dock is located 24 km directly east of a lighthouse. A sailboat is directly north of the lighthouse. The sailboat is 25 km from the dock. How far away from the lighthouse is the boat 7 km 14 km 6km A 13 foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 14 feet. Will the ladder the top of the wall? yes no