1. A regional airport, community college, and city hall building are located at the vertices of a right triangle formed by three roads. The airport and the city hall are 10 miles apart. The distance between the airport and the community college is 8 miles, and the distance between the city hall and the community college is 6 miles. A service road will be constructed from the main entrance of the community college to the road that connects the airport and the city hall. What is the shortest possible length for the service road? Round your answer to the nearest tenth.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles.
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road? Round your answer to the nearest tenth.
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insort sc
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enter
Transcribed Image Text:1. A regional airport, community college, and city hall building are located at the vertices of a right triangle formed by three roads. The airport and the city hall are 10 miles apart. The distance between the airport and the community college is 8 miles, and the distance between the city hall and the community college is 6 miles. A service road will be constructed from the main entrance of the community college to the road that connects the airport and the city hall. What is the shortest possible length for the service road? Round your answer to the nearest tenth. no insort sc 12 144 delete home OF & * L. 8. num backspace lock hc J enter
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