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
**Graph Description:**
The graph shows a triangle ABC plotted on a coordinate plane. The vertices of the triangle are:
- A at (1, 8)
- B at (6, 6)
- C at (-5, -7)
**Choose 1 answer:**
A) 38.6
B) 43.5
C) 75
D) 87
[Explanation of Multiple Choices]
Welcome to the Geometry section of our educational website! Here, you'll find questions designed to test and improve your understanding of geometric concepts. In this problem, you'll be calculating the area of a triangle using the coordinates of its vertices. Use the formula for the area of a triangle given by its vertices in a coordinate plane:
\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]
Try solving this problem and choose the correct answer from the given options. Good luck!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafaf3716-0f46-4ef8-8311-5c5441caa712%2F893496a1-819b-4bbb-9cf6-a3cf41168644%2F8bsfl64_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the Area of Triangle ABC**
**Question:**
Find the area, in square units, of triangle ABC plotted below:
**Graph Description:**
The graph shows a triangle ABC plotted on a coordinate plane. The vertices of the triangle are:
- A at (1, 8)
- B at (6, 6)
- C at (-5, -7)
**Choose 1 answer:**
A) 38.6
B) 43.5
C) 75
D) 87
[Explanation of Multiple Choices]
Welcome to the Geometry section of our educational website! Here, you'll find questions designed to test and improve your understanding of geometric concepts. In this problem, you'll be calculating the area of a triangle using the coordinates of its vertices. Use the formula for the area of a triangle given by its vertices in a coordinate plane:
\[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \]
Try solving this problem and choose the correct answer from the given options. Good luck!
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