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 and x is 4.2 H is 3 and x is 3.6 H is 6.4 and x is 6.1 H is 3 and x is 2.23 2. 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 cm 17 cm 16 cm 22 cm 3. When a squared plus b squared equals c squared, this results in what kind of triangle? Equilateral Obtuse Right Acute 4. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point? 374 miles 39 miles 27.8 miles 112.6 miles 5. 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. 14 cm 18 cm 12 cm 16 cm 6. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach? 3.87m 15m 3m 4.12m 7. The leg opposite the right angle is called.. the right leg the hypotenuse leg A the isosceles leg 8. 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? 46.9m 33.5m 126.5m 113.1m 9. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase? 20 inches 22 inches 15 inches 30 inches 10. 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? 6 ft 4 ft 10 ft 3 ft 11. PYTHAGOREAN THEOREM states that for any right angled triangle: a² + b² = c^{2} Where c is the longest side of the triangle called the __________. Hypertenuse Hypochondriac Hypotenuse Hyperactive 12. What is the length of DG? √ 33 33 65 34. 13. 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? 11.40m 11.401m 5.65m 5.657m 14. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle? 18 cm 26 cm 7 cm 24 cm 15. 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 inches About 9.7 inches About 19 inches About 5 inches 16. For safety reasons, the base of a 24-foot ladders should be at least 8 feet from the wall. How high can a 24-foot ladder safely reach? About 16 feet About 22.6 feet About 512 feet About 25.3 feet 17. 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 35 cm 40 cm 17 cm 18. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG? 34 cm 7 cm 1 cm 4 cm 19. 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 ft 178 ft 112.7 ft 95 ft 20. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________? Leg b Hypotenuse Leg a The leader 1 out of 20 Time is Up! Time's up