Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. To get from point A to point B Myranda must avoid walking through the pond. She walks 34 meters south and 41 meters east. How many meters is the shortest distance from point A to point B? 95 m 78.4 m 32 m 53.3 m 2. A right triangle must have.... 20 degree 90 degree 15 degree 45 degree 3. Breanna has a laptop computer that has a 37 centimeter diagonal screen. The width of the laptop is 12 centimeters. What is the length of the laptop? 28 cm 17 cm 40 cm 35 cm 4. Sally travels to work each day. She travels 12 km East from home to Main Road. Sally then travels 9 km North on the Main Road to work. If the council was to put a direct road from Sally’s house to work, how much shorter would her journey be? 15 km 6 km 11.06 km 7.94 km 5. The hypotenuse of a right triangle is 12 inches and one of its legs is 7 inches. Find the length of the other leg. About 19 inches About 14 inches About 5 inches About 9.7 inches 6. PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c^{2} Where c is the longest side of the triangle called the __________. Hypochondriac Hypotenuse Hypertenuse Hyperactive 7. To find the length of a lake, a surveyor places flags at A and B, so that A and B are at opposite ends of a lake. She then walks to a point C such that angle ABC is 90°. She measures the distance from A to C and finds it to be 112m, and the distance from B to C to be 91m. Find the length of the lake correct to the nearest metre. 203 m 21 m 144 m 65 m 8. What is the length of DG? 33 65 34. √ 33 9. Shaylee wanted to know if a triangle whose legs are 15 feet and 8 feet and whose hypotenuse is 17 feet is a right triangle. She put into her calculator 17x17 =289. Then she put into her calculator 15x15 =225 and 8x8 =64, and added 225 and 64 together. Is the triangle a right triangle? No, because there is not enough information to solve this problem. Yes, because 8x15x17 is equal to 2040. Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle. No, because 15+8 does not equal 17. 10. In trigonometry, the Pythagorean theorem is considered a special case of a more general law. In other words, this mathematical law is a more general formula that can be used for all types of triangles. What is the name of this law? Law of cosines Law of sines Law of tangents 11. Which of the following is not a Pythagorean Triple? 10, 24, 26 7, 24, 25 9, 35, 36 6, 8, 10 12. Pythagorean triples are three numbers that satisfy the Pythagorean relationship. For example 3,4,5 is a Pythagorean triple because 3² + 4² = 5². Which of the following is not a Pythagorean triples? 5, 12, 13 7, 24, 25 6, 8, 10 65, 72, 96 13. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming. About 640 miles About 90 miles About 457 miles About 240 miles 14. What is the measure of the missing length? 28.0 cm 20.6 cm 47.9 cm 46.1 cm 15. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach? 4.12m 15m 3.87m 3m 16. Which side is the hypotenuse? FG None of the above DF DG 17. How much farther is it to jog around the perimeter of the field to get from X to Y rather than jogging a straight line across the field from X to Y? 33.5m 126.5m 46.9m 113.1m 18. What is the measure of the missing length? 37 km 28 km 35 km 38 km 19. The vertex of the right angle in a right triangle points in the direction to the _______________ Leg b Hypotenuse Shortest side Leg a 20. Use the Pythagorean relationship to see if the triangle with these sides is a right angled triangle. A is right angled triangle, b is not A is not a right angled triangle, but b is Neither are right angled triangles Both are right angled 1 out of 20 Time is Up! Time's up