Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Ms Lange drove about 150 km east from La sarre, to Senneterre, Quebec.She drove about another 75 km north to Lebel-sur-Quevillon. What is the approximate air distance from La Sarre to Lebel-sur-Quevillon, Quebec? 168 km 175 km 160 km 225 km 2. 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? 7, 24, 25 65, 72, 96 5, 12, 13 6, 8, 10 3. How far up a wall will an ladder reach that measures 11 meters, if the foot of the ladder must be 4 meters from the base of the wall? 10.2 meters 12 meters 5.6 meters 7 meters 4. 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. 144 m 203 m 21 m 65 m 5. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase? 22 inches 15 inches 20 inches 30 inches 6. The vertex of the right angle in a right triangle points in the direction to the _______________ Leg b Shortest side Hypotenuse Leg a 7. A pole is to be placed in a box with dimensions 20cm × 15 cm × 10 cm.What is the length of the longest pole that could fit in the box if it does not have to be laid flat? 17 cm 16 cm 27 cm 22 cm 8. Which side is the hypotenuse? FG None of the above DG DF 9. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming. About 90 miles About 457 miles About 640 miles About 240 miles 10. The longest side of a right angled triangle is 20 cm and one of the other sides is 16 cm. Find the length of the other side. 16 cm 18 cm 14 cm 12 cm 11. A 9m post is positioned so that it meets the ground at right angles. A wire is strung from the top of the post to a peg on the ground 7m from the base of the post. How long, to the nearest cm, must the wire be? 11.401m 5.65m 11.40m 5.657m 12. 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? 6 km 15 km 7.94 km 11.06 km 13. 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? 17 cm 40 cm 28 cm 35 cm 14. What is the measure of the missing length? 46.1 cm 47.9 cm 28.0 cm 20.6 cm 15. A pole is to be placed in a box with dimensions 20cm × 15 cm × 10 cm.What is the length of the longest pole that could be laid flat in the box? 13 cm 16 cm 25 cm 22 cm 16. What name is given to the longest side of a right-angled triangle? Adjacent Diagonal Hypotenuse Opposite 17. Which of the following is not a Pythagorean Triple? 6, 8, 10 7, 24, 25 9, 35, 36 10, 24, 26 18. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________? Leg a Leg b Hypotenuse The leader 19. When a squared plus b squared equals c squared, this results in what kind of triangle? Equilateral Obtuse Right Acute 20. Using the Pythagorean Theorem, figure out the missing values for x and h: H is 6 and x is 4.2 H is 6.4 and x is 6.1 H is 3 and x is 3.6 H is 3 and x is 2.23 1 out of 20 Time is Up! Time's up