1-1/4", calculate length L, rou rise run

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
Question
A stair stringer can be laid out very accurately by a carpenter using the Pythagorean Theorem to calculate length L. If the stairs are to have a rise of 6-3/4" and a run of 11-1/4", calculate length L, rounded to the nearest 16th of an inch.

**Diagram Description:**
The diagram shows a side view of a stair stringer. It highlights the triangular relationship between the rise, run, and the hypotenuse (stringer). Multiple right triangles are formed by repeated rise and run sections along the stringer. Labels indicate "rise" for the vertical measurement and "run" for the horizontal measurement. The hypotenuse is labeled as "stringer."

The length \( L \) is ______\(\sqrt{} \) inches.
Transcribed Image Text:A stair stringer can be laid out very accurately by a carpenter using the Pythagorean Theorem to calculate length L. If the stairs are to have a rise of 6-3/4" and a run of 11-1/4", calculate length L, rounded to the nearest 16th of an inch. **Diagram Description:** The diagram shows a side view of a stair stringer. It highlights the triangular relationship between the rise, run, and the hypotenuse (stringer). Multiple right triangles are formed by repeated rise and run sections along the stringer. Labels indicate "rise" for the vertical measurement and "run" for the horizontal measurement. The hypotenuse is labeled as "stringer." The length \( L \) is ______\(\sqrt{} \) inches.
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