Special Right Triangles

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Presentation transcript:

Special Right Triangles Jeopardy Square Roots Rational/ Irrational Pythagorean Theorem Applications Special Right Triangles 100 200 300 400 500

100 Find the square root. √49

200 Find the square root. -√0.25

300 Find the square root. 9 √16

Solve the equation. Round to the nearest tenth, if necessary. 400 Solve the equation. Round to the nearest tenth, if necessary. a2 = 169

Solve the equation. Round to the nearest tenth, if necessary. 500 Solve the equation. Round to the nearest tenth, if necessary. y2 + 20 = 79

100 Tell whether the number is rational or irrational. Explain your reasoning. 7 8

200 Tell whether the number is rational or irrational. Explain your reasoning. 1 9

300 Tell whether the number is rational or irrational. Explain your reasoning. √5

400 Tell whether the number is rational or irrational. Explain your reasoning. √8.1

500 Order the numbers 0.53, 0.535, 0.53 and √0.28

100 Find the length of the hypotenuse of a right triangle with leg lengths of 28 centimeters and 45 centimeters.

200 Determine whether a triangle with the given side lengths is a right triangle. a = 22, b = 120, c = 122

300 Find the length of the hypotenuse of a right triangle with a 33 inch leg and a 44 inch leg.

(round to the nearest hundredth if necessary) 400 Find the length of a leg of a right triangle with a 48.7 m leg and a 52.3 m hypotenuse. (round to the nearest hundredth if necessary)

500 Determine whether a triangle with the given side lengths is a right triangle. a = 21, b = 70, c = 75

form a Pythagorean triple. 100 Determine whether 19, 22, 26 form a Pythagorean triple.

200 A community garden forms a square 160 feet on each side. Two diagonal paths cross the garden between opposite corners. What is the length of each path to the nearest foot?

300 Jaime and Tara are jogging. Jaime jogs from A to C. Tara jogs from A to B to C. About how much farther does Tara go from A to C than Jaime? C 500m A B 1000m

400 A kicker is about to attempt a field goal in a football game. The distance from the football to the goal post is 120 feet. The crossbar of the goal post is 10 feet above the ground. Find the distance between the football and the crossbar. Round your answer to the nearest tenth.

500 Find the perimeter and area of the triangle. Do the side lengths of the triangle form a Pythagorean triple? 29 ft h 20 ft

100 Find the value of each variable in the triangle. Give the exact answer. a 8 30 ̊ 60 ̊ b

200 The infield of a baseball diamond is a square with side length 90 feet. A player throws from third base to first base. How far does she have to throw the ball?

300 A wire runs from the top of an electric pole to the ground. The wire makes a 45° angle with the ground. The pole is 40 feet tall. Find the length of the wire. Round your answer to the nearest foot, if necessary.

400 The hypotenuse of a 30°- 60°-90° right triangle is 103 centimeters. Find the length of the longer leg. Round to the nearest tenth.

500 A school dance committee plans to suspend a giant paper dragon across the school gymnasium from one corner diagonally to the other. The dragon will be the hypotenuse of a 30°- 60°- 90° triangle. The width of the gym is 60 feet and the length of the dragon is 120 feet. To the nearest foot, what is the length of the gym?