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
Related questions
Topic Video
Question
![**Right Triangle Problems**
**Instructions**: In each right triangle, find each missing length to the nearest tenth of a unit.
---
**Problem 7**:
A right triangle with one leg measuring 9 inches, the other leg measuring 7 inches, and the hypotenuse labeled as \( x \).
\[
\begin{array}{c}
\\
\hspace{0.4in}\xrightarrow{\hspace{0.5in}}\xleftarrow{\hspace{0.5in}}9 \text{ in.}\\
\hspace{0.4in}\hspace{\hspace{0.5in}}\hspace {\hspace{0.5in}}x\\
\hspace{0.2in}\xrightarrow{\hspace{0.2in}}\xleftarrow{\hspace{0.2in}}7 \text{ in.} \\
\hspace{0.4in}\xrightarrow {\hspace{\hspace }}\xleftarrow{\hspace{\hspace{} }}\\
\hspace{7.0in} \hspace{}9
\end{array}
\]
---
**Problem 8**:
A right triangle with one leg measuring \( \sqrt{146} \) meters, the other leg measuring 5 meters, and the hypotenuse labeled as \( x \).
\[
\begin{array}{c}
\\
\hspace{0.4in}\xrightarrow{\hspace{0.5in}}\xleftarrow{\hspace{0.5in}} x\\
\hspace{0.2in}\xrightarrow{\hspace{0.2in}}\ xleftarrow{\hspace{0.2in}} \sqrt{146}m \\
\hspace{0.\xrightarrow{\hspace 2in}}\leftarrow{\hspace{}2m }4m x\\
\hspace{0.4in}\xrightarrow {\hspace{\hspace4}}\xleftarrow{\hspace{\hspace{} }}
\end{array}
]
\]
---
**Problem 9**:
Use the triangle at the right. Find the missing length to the nearest tenth of a unit.
Given: \( a = 2 \) meters, \( b = 4 \) meters.
Find \( c \).
\[
\begin](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6cd6a4e-6666-4ce9-a995-c6ee7f0343e2%2F23b642f6-9181-456d-be43-fc54dd500467%2Foh1kmx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Right Triangle Problems**
**Instructions**: In each right triangle, find each missing length to the nearest tenth of a unit.
---
**Problem 7**:
A right triangle with one leg measuring 9 inches, the other leg measuring 7 inches, and the hypotenuse labeled as \( x \).
\[
\begin{array}{c}
\\
\hspace{0.4in}\xrightarrow{\hspace{0.5in}}\xleftarrow{\hspace{0.5in}}9 \text{ in.}\\
\hspace{0.4in}\hspace{\hspace{0.5in}}\hspace {\hspace{0.5in}}x\\
\hspace{0.2in}\xrightarrow{\hspace{0.2in}}\xleftarrow{\hspace{0.2in}}7 \text{ in.} \\
\hspace{0.4in}\xrightarrow {\hspace{\hspace }}\xleftarrow{\hspace{\hspace{} }}\\
\hspace{7.0in} \hspace{}9
\end{array}
\]
---
**Problem 8**:
A right triangle with one leg measuring \( \sqrt{146} \) meters, the other leg measuring 5 meters, and the hypotenuse labeled as \( x \).
\[
\begin{array}{c}
\\
\hspace{0.4in}\xrightarrow{\hspace{0.5in}}\xleftarrow{\hspace{0.5in}} x\\
\hspace{0.2in}\xrightarrow{\hspace{0.2in}}\ xleftarrow{\hspace{0.2in}} \sqrt{146}m \\
\hspace{0.\xrightarrow{\hspace 2in}}\leftarrow{\hspace{}2m }4m x\\
\hspace{0.4in}\xrightarrow {\hspace{\hspace4}}\xleftarrow{\hspace{\hspace{} }}
\end{array}
]
\]
---
**Problem 9**:
Use the triangle at the right. Find the missing length to the nearest tenth of a unit.
Given: \( a = 2 \) meters, \( b = 4 \) meters.
Find \( c \).
\[
\begin
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