Directions: Explain the following problem using the concept of triangle congruency. To measure the distance from the shore (point A) to a ship at sea (point D), the Greek mathematician instrument shown in the picture. He held rod AB vertically and sighted point D along with rod BC. Then, keeping 2CBA constant, he revolved the instrument around AB so that it Thales devised the pointed into shore. Sighting along with BC', he then located point D'. Using congruent triangles, explain how the device worked. Shore Sea

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter3: Triangles
Section3.5: Inequalities In A Triangle
Problem 23E
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Directions: Explain the following problem using the concept of triangle congruency.
To measure the distance from the shore
B
(point A) to a ship at sea (point D), the Greek
Thales
mathematician
devised
the
C
instrument shown in the picture. He held rod
AB vertically and sighted point D along with
rod BC. Then, keeping LCBA constant, he
revolved the instrument around AB so that it
pointed into shore. Sighting along with BC',
he then located point D'. Using congruent
triangles, explain how the device worked.
D'
Shore
Sea
Transcribed Image Text:Directions: Explain the following problem using the concept of triangle congruency. To measure the distance from the shore B (point A) to a ship at sea (point D), the Greek Thales mathematician devised the C instrument shown in the picture. He held rod AB vertically and sighted point D along with rod BC. Then, keeping LCBA constant, he revolved the instrument around AB so that it pointed into shore. Sighting along with BC', he then located point D'. Using congruent triangles, explain how the device worked. D' Shore Sea
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