Find the area of the triangle whose vertices are given below. A(- 6,2) B(1, - 3) C(6, - 3) The area of triangle ABC is square units. (Simplify your answer.)
Find the area of the triangle whose vertices are given below. A(- 6,2) B(1, - 3) C(6, - 3) The area of triangle ABC is square units. (Simplify your answer.)
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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![**Find the area of the triangle whose vertices are given below:**
\[ A(-6,2) \quad B(1,-3) \quad C(6,-3) \]
**The area of triangle ABC is** \_\_\_ **square units.** [Simplify your answer.]
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**Explanation of Diagrams:**
There are no graphs or diagrams present in this image.
This problem asks to calculate the area of the triangle ABC with specified vertices. The vertices of the triangle are given in coordinate form: A(-6,2), B(1,-3), and C(6,-3). You are required to use a suitable method (such as the determinant method, also known as the Shoelace formula, or other geometric formulas) to compute the area, and then simplify the result to enter in the provided answer box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56c39839-d6ec-4cd3-94f9-6bb9a1cb44c1%2F047c8925-e422-46ef-b629-4bd72c01f6b1%2Fobbx8i_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the area of the triangle whose vertices are given below:**
\[ A(-6,2) \quad B(1,-3) \quad C(6,-3) \]
**The area of triangle ABC is** \_\_\_ **square units.** [Simplify your answer.]
---
**Explanation of Diagrams:**
There are no graphs or diagrams present in this image.
This problem asks to calculate the area of the triangle ABC with specified vertices. The vertices of the triangle are given in coordinate form: A(-6,2), B(1,-3), and C(6,-3). You are required to use a suitable method (such as the determinant method, also known as the Shoelace formula, or other geometric formulas) to compute the area, and then simplify the result to enter in the provided answer box.
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