4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) c = V a? + b?. Calculate the percent error in this calculated value for c. Use the measured value from step 3 as the standard value. Record your result in Table 8-2.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean
Theorem. From equation (8-1)
C =
V a? + b?.
Calculate the percent error in this calculated value for c. Use the measured value from step 3 as the
standard value. Record your result in Table 8-2.
5. Calculate sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the angles 0 and y measured in
step 2 and record in Table 8-3.
6. Calculate and record in Table 8-3, sin(0), cos(0), tan(0), sin(y), cos(y) and tan(Y) from the
measured lengths of sides a, b and c from step 3 and the definitions of the trigonometric functions.
7. Compare the experimental results from step 6 with those from step 5 by calculating the
percent error of each result in step 6. Use the values calculated from the angles in step 5 as the standard
values. Record your results in Table 8-3.
Transcribed Image Text:4. Calculate c using the measured lengths of the legs a and b from step 3, and the Pythagorean Theorem. From equation (8-1) C = V a? + b?. Calculate the percent error in this calculated value for c. Use the measured value from step 3 as the standard value. Record your result in Table 8-2. 5. Calculate sin(0), cos(0), tan(0), sin(y), cos(y) and tan(y) from the angles 0 and y measured in step 2 and record in Table 8-3. 6. Calculate and record in Table 8-3, sin(0), cos(0), tan(0), sin(y), cos(y) and tan(Y) from the measured lengths of sides a, b and c from step 3 and the definitions of the trigonometric functions. 7. Compare the experimental results from step 6 with those from step 5 by calculating the percent error of each result in step 6. Use the values calculated from the angles in step 5 as the standard values. Record your results in Table 8-3.
Procedure
1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right
angle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the
triangle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the
right angle 2. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c.
2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the
standard value of 180° by calculating the percent error. Record the results in Table 8-1.
3. Measure and record in Table 8-2 the lengths a, b, and c.
58
Transcribed Image Text:Procedure 1. On a clean piece of paper neatly draw a large right triangle ABC with the vertex of its right angle at point C. Make certain all sides are drawn straight and that all sides meet at the corners of the triangle. Label the two non-right angles with vertices at points A and B as 0 and y respectively. Label the right angle 2. Label the leg opposite 0 as a and the leg opposite y as b. Label the hypotenuse as c. 2. Measure the angles 0, y and 2. Determine the sum of these angles and compare with the standard value of 180° by calculating the percent error. Record the results in Table 8-1. 3. Measure and record in Table 8-2 the lengths a, b, and c. 58
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