19/03/2020 Pythagoras 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. Use the Pythagorean relationship to see if the triangle with these sides is a right angled triangle.A is not a right angled triangle, but b isNeither are right angled trianglesBoth are right angledA is right angled triangle, b is not2. 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, 967, 24, 256, 8, 105, 12, 133. What name is given to the longest side of a right-angled triangle?HypotenuseAdjacentDiagonalOpposite4. The diagonal of a rectangle is 25 cm long.The width of the rectangle is 7 cm.How long is the rectangle?18 cm24 cm7 cm26 cm5. 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 in6. 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?5.65m11.40m11.401m5.657m7. Wyoming's rectangular shape is about 275 miles by 365 miles. Find the length of the diagonal of the state of Wyoming.About 640 milesAbout 90 milesAbout 457 milesAbout 240 miles8. 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 512 feetAbout 16 feetAbout 25.3 feetAbout 22.6 feet9. If a= 28 yards and c= 197 yards, then what is the measure of b?195 yards169 yards199 yards225 yards10. A hiker walked 22 miles north and then walked 17 miles west. How far is the hiker from the starting point?374 miles27.8 miles112.6 miles39 miles11. The length of FD is:33√ 33√ 656512. 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.144 m65 m21 m203 m13. 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?No, because there is not enough information to solve this problem.No, because 15+8 does not equal 17.Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.Yes, because 8x15x17 is equal to 2040.14. Which of the following is not a Pythagorean Triple?6, 8, 109, 35, 367, 24, 2510, 24, 2615. Which side is the hypotenuse?DFFGNone of the aboveDG16. A 4m ladder is placed 1m from the base of a building. How far up the building does the ladder reach?3.87m3m15m4.12m17. What is the measure of the diagonal of the square?60.0 mm84.9 mm18.9 mm75.0 mm18. The leg opposite the right angle is called..the right legthe hypotenuseleg Athe isosceles leg19. 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?25 cm13 cm22 cm16 cm20. 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 3 and x is 3.6H is 6.4 and x is 6.121 out of 20Time is Up!
