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Geometry 2 Right Triangles Quiz A Name:____________________________________ B 1. 3. 12.3m h = _____ 7.6 m h D A 16 12 20 ? 14.6 m ? = _____ C Complete and solve the proportion. 16 20 12 a b 2. Complete and solve the proportion. 4. x=______ x 6 5. _______ x ? 11 x 10 x 8 3 Solve: x2 3 x 8 Geometry 2 Right Triangles Quiz B 1. ______ Name:____________________________________ Find the length of the leg of a right triangle with a hypotenuse of 6 and one leg of length 4. Give an approximation to 3 decimal places. Solve for b. (5 3 ) 2 b 2 100 2. b=____ Choose the set that is a Pythagorean triple. 3. ______ 4. [A] 12, 5, 13 [B] 5, 10, 15 [C] 5, 6, 7 [D] 1, 1, 2 The length of the diagonal of a square is 20. What is the length of each side? Draw a picture and label all parts; then solve the problem. Side length = _______ 5. Picture: Altitude: _______ Find the altitude of an isosceles triangle with base 8 and congruent sides of length 6. Draw a picture and label all parts; then solve the problem. Geometry 2 Right Triangles Quiz C 1. _______ 2. _______ & Name:____________________________________ Determine whether the numbers represent the lengths of the sides of an acute triangle, a right triangle, an obtuse triangle, or no triangle. 5, 6, 7 A ship steamed 10 km in one direction, turned and steamed 12 km in another direction, and then returned 18 km back to its original position. The captain then drew the ship’s course on a nautical chart and she saw that the ship’s path was a triangle. Was it an acute, obtuse, or right triangle? Was the path scalene, isosceles, or equilateral? __________ 3. _______ Determine whether the numbers represent the lengths of the sides of an acute triangle, a right triangle, an obtuse triangle, or no triangle. 4, 4, 4 Geometry 2 Right Triangles Quiz D 1. Name:____________________________________ A baseball “diamond” is a square with a side length of 90 feet. How far is the throw from third base to first base? (Round your answer to one decimal place.) _______ 2. _______ The shorter leg of a 30-60-90 triangle is 9 feet 3. x= _______ Find the value of x and y . 10 8 x y= _______ long. Find the perimeter. 45° 30° y 4. The altitude of an equilateral triangle is 10. What is the length of each side? Geometry 2 Right Triangles Quiz E 1. _______ 2. sin P = _______ cos P = _______ Name:____________________________________ Find the missing angle and side measures of ABC, given that A = 35 , C = 90 , and CB = 15. Find sin P, cos P, tan P. 2010 12 6 16 P tan P = ________ 3. Use your calculator or Table of Trigonometric Ratios to determine cos 48° to 4 decimal places. ________ 4. Solve for x to the nearest degree. _______ 8 6 7 x° 5. 17 A slide 4.4 m long makes an angle of 21 with the ground. How high is the top of the slide above the ground? ________ Use the diagram below; fill in numbers and solve. Geometry 2 Right Triangles Quiz F Name:____________________________________ Given: PQ || BC . Find the length of AP . A 1._____ 6 P Q 8 2. __________ 3. 12 B Which of the following is a proportion? 12 4 grams [D] 3 1 cubic cm If two polygons are similar, then the corresponding angles must be _____. [A] XY = AB [B] A is to B [C] C