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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![**Question 3: Pythagorean Theorem Application**
**Problem:**
Use the Pythagorean theorem to find the measure of side \( x \).
**Diagram:**
A right triangle is presented where:
- One leg is labeled \( 45 \, \text{ft} \).
- The hypotenuse is labeled \( 51 \, \text{ft} \).
- The other leg is labeled \( x \).
**Solution Options:**
A) \( 18 \, \text{ft} \)
B) \( 68 \, \text{ft} \)
C) \( 10 \, \text{ft} \)
D) \( 24 \, \text{ft} \)
To solve for \( x \), apply the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Where:
\( a \) and \( b \) are the legs of the triangle, and \( c \) is the hypotenuse. Here, let \( a = 45 \, \text{ft} \), \( b = x \), and \( c = 51 \, \text{ft} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35e0e75f-e8c2-4dab-b2c9-b1b559720d41%2F7c3b82fc-0a69-4c45-8bc4-d08a1d237e2e%2Fgod1si_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3: Pythagorean Theorem Application**
**Problem:**
Use the Pythagorean theorem to find the measure of side \( x \).
**Diagram:**
A right triangle is presented where:
- One leg is labeled \( 45 \, \text{ft} \).
- The hypotenuse is labeled \( 51 \, \text{ft} \).
- The other leg is labeled \( x \).
**Solution Options:**
A) \( 18 \, \text{ft} \)
B) \( 68 \, \text{ft} \)
C) \( 10 \, \text{ft} \)
D) \( 24 \, \text{ft} \)
To solve for \( x \), apply the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Where:
\( a \) and \( b \) are the legs of the triangle, and \( c \) is the hypotenuse. Here, let \( a = 45 \, \text{ft} \), \( b = x \), and \( c = 51 \, \text{ft} \).
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