Welcome to your Pythagoras and Trigonometry(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. A squared plus b squared equals c squared is known as the __________Pythagorean TheoremPlatos TheoremSaltos and Pepros TheoremTheorem of Nef2. 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 13.5 feetAbout 1 footAbout 4.4 feetAbout 19 feet3. 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?35 cm17 cm40 cm28 cm4. In the triangle above FG = 3 cm and FD = 5 cm. How long is side DG?1 cm7 cm34 cm4 cm5. If b=42 miles and c=58 miles, then what is the measure of a?16 miles100 miles40 miles72 miles6. When a right triangle contains a leg with a measure of 3, a leg with a measure of 4, and a hypotenuse with a measure of 5, this is referred to as a _____________Pythagorean OrderPythagorean TrifectaPythagorean TripleCounting Pythagora7. What is the length of DG?653334.√ 338. What name is given to the longest side of a right-angled triangle?AdjacentDiagonalOppositeHypotenuse9. In trigonometry, the Pythagorean theorem is considered a special case of a more general law. In other words, this mathematical law is a more general formula that can be used for all types of triangles. What is the name of this law?Law of sinesLaw of cosinesLaw of tangentsLaw of sines10. 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 inches11. 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 3.6H is 3 and x is 2.23H is 6.4 and x is 6.112. 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?95 m32 m53.3 m78.4 m13. 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 cm12 cm18 cm16 cm14. What is the measure of the missing length?47.9 cm20.6 cm28.0 cm46.1 cm15. 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 miles16. 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?11.40m5.657m5.65m11.401m17. 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?6, 8, 107, 24, 255, 12, 1365, 72, 9618. 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?Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.No, because 15+8 does not equal 17.No, because there is not enough information to solve this problem.Yes, because 8x15x17 is equal to 2040.19. The vertex of the right angle in a right triangle points in the direction to the _______________Leg bShortest sideLeg aHypotenuse20. What is the measure of the missing length?38 km37 km35 km28 km21 out of 20Time is Up!
