1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm. Using different colors of construction paper, the student places smaller triangles on top of the initial triangle. The side lengths of each triangle are exactly half the lengths of the previous triangle. If, in theory, the student can continue this process an infinite number of times, determine the total area of all the triangles. 16 cm
1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm. Using different colors of construction paper, the student places smaller triangles on top of the initial triangle. The side lengths of each triangle are exactly half the lengths of the previous triangle. If, in theory, the student can continue this process an infinite number of times, determine the total area of all the triangles. 16 cm
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm. Using different colors of construction paper, the student places smaller triangles on top of the initial triangle. The side lengths
of each triangle are exactly half the lengths of the previous triangle.
If, in theory, the student can continue this process an infinite number of times, determine the total area of all the triangles.
16 cm
80 cm
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