You have been given three similar right-angle triangles; AFG.andADE,ABC, All of these triangles share the same base angle of 20o. 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.
A GE
D
C
B
20o
F
opposite
hypotenuse
adjacent
adjacent
hypotenuse
opposite
NSSAL 2
©2010
Draft
Triangle
(20o)
Opposite Adjacent Hypotenuse
Hypotenuse
Opposite
Hypotenuse
Adjacent
Adjacent
Opposite
ABC 19 mm 57 mm 60 mm 0.32 0.95 0.33
ADE 26 mm 74 mm 79 mm
AFG
What pattern or patterns to you see?
Part 2
You have been given three similar right-angle triangles; AFG.andADE,ABC, In this case
they all share the base angle of 30o. Measure the sides of the three triangles and record the information. Also calculate the three ratios identified in the last three columns.
Triangle
(30o)
Opposite Adjacent Hypotenuse
Hypotenuse
Opposite
Hypotenuse
Adjacent
Adjacent
Opposite
ABC
ADE
AFG
What pattern or patterns to you see? Did you see similar patterns in Part 1?
A GE
D
C
B
30o
F
