Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Using the Pythagorean Theorem, figure out the missing values for x and h:H is 6.4 and x is 6.1H is 3 and x is 2.23H is 6 and x is 4.2H is 3 and x is 3.62. Two joggers run 8 miles north and then 15 miles west. What is the shortest distance, they must travel to return to their starting point?21 miles9 miles17 miles7 miles3. If b=42 miles and c=58 miles, then what is the measure of a?40 miles16 miles72 miles100 miles4. 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 m65 m203 m21 m5. What name is given to the longest side of a right-angled triangle?HypotenuseOppositeDiagonalAdjacent6. The length of FD is:6533√ 33√ 657. The leg opposite the right angle is called..the hypotenuseleg Athe right legthe isosceles leg8. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________?Leg bLeg aThe leaderHypotenuse9. The front of a hiking tent is shaped alike a triangle. The slanted sides are both 5 feet long and the bottom of the tent is 6 feet across. What is the height of the tent in feet at the tallest point? 4 ft6 ft10 ft3 ft10. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse?10 cm20 cm200 cm50 cm11. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point?27.8 miles112.6 miles374 miles39 miles12. 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 cm17 cm35 cm40 cm13. 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 km6 km11.06 km7.94 km14. 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 14 inchesAbout 9.7 inchesAbout 5 inchesAbout 19 inches15. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle?7 cm24 cm18 cm26 cm16. The vertex of the right angle in a right triangle points in the direction to the _______________Shortest sideLeg bLeg aHypotenuse17. Which of the following is not a Pythagorean Triple?9, 35, 367, 24, 2510, 24, 266, 8, 1018. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?20 inches30 inches15 inches22 inches19. 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?225 km168 km160 km175 km20. 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 15+8 does not equal 17.No, because there is not enough information to solve this problem.Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.Yes, because 8x15x17 is equal to 2040.21 out of 20Time is Up! Time's up
