Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. The leg opposite the right angle is called.. leg A the hypotenuse the isosceles leg the right leg None 2. A right triangle must have.... 20 degree 15 degree 45 degree 90 degree None 3. A 10-foot ramp is extended from the back of a truck to the ground to help movers load furniture onto the truck, If the ramp touches the ground at a point 9 feet behind the truck, how high off the gound is the top of the ramp? About 1 foot About 4.4 feet About 13.5 feet About 19 feet None 4. What is the measure of the missing length? 46.1 cm 47.9 cm 20.6 cm 28.0 cm None 5. 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? 17 in 8 in 12 in 15 in None 6. The longest side of a right triangle that is located on the side opposite of the right angle is known as ______________? Hypotenuse Leg a Leg b The leader None 7. 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 5 inches About 19 inches None 8. 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 3 ft 10 ft 4 ft None 9. What is the measure of the missing length? 35 km 28 km 37 km 38 km None 10. The two short sides of a right angled triangle are 12 cm and 16 cm. How long is the hypotenuse? 50 cm 10 cm 20 cm 200 cm None 11. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach? 4.12m 3.87m 3m 15m None 12. The length of FD is: √ 33 √ 65 33 65 None 13. 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 95 ft 178 ft 112.7 ft None 14. 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? 7 miles 17 miles 21 miles 9 miles None 15. 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 35 cm 28 cm 40 cm None 16. 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? 5, 12, 13 6, 8, 10 65, 72, 96 7, 24, 25 None 17. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle? 24 cm 26 cm 7 cm 18 cm None 18. 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 None 19. 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. 21 m 65 m 203 m 144 m None 20. A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase? 22 inches 15 inches 30 inches 20 inches None 1 out of 20 Time's upTime is Up!