Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG?7 cm1 cm4 cm34 cm2. What is the measure of the missing length?35 km38 km37 km28 km3. 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?22 cm17 cm16 cm27 cm4. What name is given to the longest side of a right-angled triangle?DiagonalOppositeAdjacentHypotenuse5. What is the measure of the diagonal of the square?75.0 mm84.9 mm18.9 mm60.0 mm6. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________?HypotenuseThe leaderLeg bLeg a7. 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.18 cm16 cm14 cm12 cm8. 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?11.401m5.657m11.40m5.65m9. 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 in15 in8 in17 in10. The leg opposite the right angle is called..the hypotenusethe isosceles legleg Athe right leg11. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?15 inches20 inches30 inches22 inches12. 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?53.3 m78.4 m32 m95 m13. If b=42 miles and c=58 miles, then what is the measure of a?72 miles40 miles16 miles100 miles14. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse?10 cm200 cm50 cm20 cm15. 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, 256, 8, 105, 12, 1365, 72, 9616. A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and 2nd base?127.28 ft112.7 ft178 ft95 ft17. 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 km18. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle?24 cm18 cm26 cm7 cm19. 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 14 inchesAbout 9.7 inchesAbout 19 inches20. Using the Pythagorean Theorem, figure out the missing values for x and h:H is 6 and x is 4.2H is 3 and x is 2.23H is 6.4 and x is 6.1H is 3 and x is 3.621 out of 20Time is Up!