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
Question
Solve for x
![**Solve for x**
The image depicts a right triangle.
- One leg of the triangle is labeled with a length of 3.
- The other leg of the triangle is labeled with a length of 4.
- The hypotenuse is labeled as \( x \).
**Task:**
Find the value of \( x \) using the Pythagorean theorem.
**Explanation:**
For a right triangle with legs \( a \) and \( b \), and hypotenuse \( c \), the Pythagorean theorem states:
\[ a^2 + b^2 = c^2 \]
In this triangle:
\[ 3^2 + 4^2 = x^2 \]
**Calculate:**
\[ 9 + 16 = x^2 \]
\[ 25 = x^2 \]
\[ x = \sqrt{25} \]
**Solution:**
\[ x = 5 \]
**Enter the value of \( x \) below:**
\[ x = \] [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3727559b-c428-407a-939e-3225a150d3fe%2F406fe936-49a7-4f1a-80d5-70e09129ab2b%2Faso0qr8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve for x**
The image depicts a right triangle.
- One leg of the triangle is labeled with a length of 3.
- The other leg of the triangle is labeled with a length of 4.
- The hypotenuse is labeled as \( x \).
**Task:**
Find the value of \( x \) using the Pythagorean theorem.
**Explanation:**
For a right triangle with legs \( a \) and \( b \), and hypotenuse \( c \), the Pythagorean theorem states:
\[ a^2 + b^2 = c^2 \]
In this triangle:
\[ 3^2 + 4^2 = x^2 \]
**Calculate:**
\[ 9 + 16 = x^2 \]
\[ 25 = x^2 \]
\[ x = \sqrt{25} \]
**Solution:**
\[ x = 5 \]
**Enter the value of \( x \) below:**
\[ x = \] [Input Box]
Expert Solution
Step 1
Topic:- algebra
Definition :- using Pythagoras theorem.
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Solved in 2 steps with 1 images
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