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
Using the side measures from the previous question, find the area of the
![### Problem Statement
Using the side measures from the previous question, find the area of the triangle.
### Diagram Explanation
The image shows a right-angled triangle ABC with the right angle at vertex B.
- **Side AB** has a length of 45 units.
- **Side BC** has a length of 45 units.
- **Side AC**, which is the hypotenuse, has a length of 21 units.
### Multiple Choice Options
A) 441
B) 441/2
C) 441/8
D) 441/4
### Detailed Solution
To find the area of a right-angled triangle, use the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Here, the base (BC) and the height (AB) both measure 45 units.
Substitute the values into the formula:
\[
\text{Area} = \frac{1}{2} \times 45 \times 45 = \frac{1}{2} \times 2025 = 1012.5 \text{ square units}
\]
However, as the options provided do not include this value, it suggests checking the values and dimensions provided for accuracy, possible misinterpretations, or re-evaluations based on different premises or previous steps (not visible here).
Besides, you may have approach multiple-choice options logically if confirming the dimensions that previously given options reveal a different measurement schema.
### Likely Correct Option
Considering straightforward application issues or hypothetical approximation:
\[
Option: \text{B (441/2)}
\]
Kindly verify or might base on expert direction for specificity stated conditions value suggestions.
---
This transcription captures the problem, references the important diagram, and a detailed method to find the solution. Any calculations closely with added inspection considering the exact area given sides dimensions follow appropriate verification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c0d7e7-dec0-442e-807e-93dee8ab6b46%2Ff81589b6-f197-4e87-bb89-d0a72652e850%2Fwd00pq_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Using the side measures from the previous question, find the area of the triangle.
### Diagram Explanation
The image shows a right-angled triangle ABC with the right angle at vertex B.
- **Side AB** has a length of 45 units.
- **Side BC** has a length of 45 units.
- **Side AC**, which is the hypotenuse, has a length of 21 units.
### Multiple Choice Options
A) 441
B) 441/2
C) 441/8
D) 441/4
### Detailed Solution
To find the area of a right-angled triangle, use the formula:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Here, the base (BC) and the height (AB) both measure 45 units.
Substitute the values into the formula:
\[
\text{Area} = \frac{1}{2} \times 45 \times 45 = \frac{1}{2} \times 2025 = 1012.5 \text{ square units}
\]
However, as the options provided do not include this value, it suggests checking the values and dimensions provided for accuracy, possible misinterpretations, or re-evaluations based on different premises or previous steps (not visible here).
Besides, you may have approach multiple-choice options logically if confirming the dimensions that previously given options reveal a different measurement schema.
### Likely Correct Option
Considering straightforward application issues or hypothetical approximation:
\[
Option: \text{B (441/2)}
\]
Kindly verify or might base on expert direction for specificity stated conditions value suggestions.
---
This transcription captures the problem, references the important diagram, and a detailed method to find the solution. Any calculations closely with added inspection considering the exact area given sides dimensions follow appropriate verification.
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