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
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning