19/03/2020Pythagoras and Trigonometry(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. The vertex of the right angle in a right triangle points in the direction to the _______________Leg bHypotenuseLeg aShortest side2. 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 km11.06 km6 km7.94 km3. The length of FD is:√ 653365√ 334. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point?112.6 miles374 miles27.8 miles39 miles5. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming.About 90 milesAbout 457 milesAbout 640 milesAbout 240 miles6. 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 cm25 cm16 cm22 cm7. What is the measure of the missing length?37 km35 km38 km28 km8. 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 ft9. What is the measure of the missing length?47.9 cm20.6 cm46.1 cm28.0 cm10. 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?27 cm16 cm17 cm22 cm11. Which of the following is not a Pythagorean Triple?7, 24, 259, 35, 3610, 24, 266, 8, 1012. 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?175 km168 km160 km225 km13. A ship's guidance system measures that the ship is 380m from the top of a lighthouse. The top of the lighthouse is 88 m above sea level. How far is the ship from the lighthouse?369.7 m234.0 m390.1 m182.9 m14. 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 5 inchesAbout 9.7 inchesAbout 19 inchesAbout 14 inches15. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG?34 cm7 cm1 cm4 cm16. 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?65, 72, 966, 8, 107, 24, 255, 12, 1317. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle?26 cm24 cm7 cm18 cm18. Ms. Coney made the triangle that you see here on the board. She said that they hypotenuse is 13 inches and one of the legs is 5 inches. What is the length of the other leg?12 in8 in17 in15 in19. 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 cm18 cm12 cm14 cm20. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse?200 cm10 cm50 cm20 cm21 out of 20Time is Up!