Investigation: Part 1 You have been given three similar right-angle triangles; AABC, AADE, and AAFG. All of these triangles share the same base angle of 20. Measure the sides of the three triangles accurately to the nearest millimeter and record the information in the table below. Calculate the ratios in the last three columns using the measurements you recorded. Round the answers to the nearest hundredths. The first set of measurements and calculations have been completed for you. OPP NSSAL Draft 2010 C. D. Pilmer71) (7.5) = x Triangle Opposite Adjacent Hypotenuse Opposite 20 Adjacent Opposite Hypotenuse 19 mm Hypotenuse 57 mm Adjacent AABC 60 mm 0.32 0.95 0.33 MADE 26 mm 74 mm 79 mm AAFG What pattern or patterns to you see? Part 2 You have been given three similar right-angle triangles; AABC, AADE, and AAFG. In this case they all share the base angle of 30. Measure the sides of the three triangles and record the information. Also calculate the three ratios identified in the last three columns. F D B 300 A C E G Triangle Opposite Adjacent |Hypotenuse Opposite Adjacent Opposite (30) Hypotenuse Hypotenuse Adjacent AABC AADE AAFG What pattern or patterns to you see? Did you see similar patterns in Part 1? NSSAL 8 Draft 2010 C. D. PilmerPart 3 You have been given three similar right-angle triangles; AABC, AADE, and AAFG. In this case they all share the base angle of 40. Measure the sides of the three triangles and record the information. Also calculate the three ratios identified in the last three columns. D B 400 A C E G Triangle Opposite Adjacent |Hypotenuse Opposite Adjacent Opposite (40) Hypotenuse Hypotenuse Adjacent AABC AADE AAFG What pattern or patterns to you see? Did you see similar patterns in Parts 1 and 2? (08) Multiple Choice Questions 1. What do all nine triangles in parts 1, 2, and 3 have in common? They are all: (a) isosceles (b) equilateral (c) similar (d) right-angle 2. What do all three triangles in part 1 have in common? With the exception of what you identified in question 1, they are all: (a) isosceles (b) equilateral (c) similar (d) right-angle NSSAL 9 2010 Draft C. D. Pilmer