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What is the perimeter of the triangular region? Round your answer to the nearest hundredth. O 5.00 units O 10.56 units O 14.94 units O 19.00 units What is the area of the triangular region? Type your answer...

What is the perimeter of the triangular region? Round your answer to the nearest hundredth. O 5.00 units O 10.56 units O 14.94 units O 19.00 units What is the area of the triangular region? Type your answer...

Elementary Geometry For College Students, 7e
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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### Geometry Practice Questions #### Question 5 **What is the perimeter of the triangular region?** - Round your answer to the nearest hundredth. - ⃝ 5.00 units - ⃝ 10.56 units - ⃝ 14.94 units - ⃝ 19.00 units #### Question 6 **What is the area of the triangular region?** - Type your answer in the space provided below. - __________ These questions encourage students to calculate the perimeter and area of a triangular region. The first question provides multiple-choice options, while the second requires a free-form numerical answer.
Transcribed Image Text:### Geometry Practice Questions #### Question 5 **What is the perimeter of the triangular region?** - Round your answer to the nearest hundredth. - ⃝ 5.00 units - ⃝ 10.56 units - ⃝ 14.94 units - ⃝ 19.00 units #### Question 6 **What is the area of the triangular region?** - Type your answer in the space provided below. - __________ These questions encourage students to calculate the perimeter and area of a triangular region. The first question provides multiple-choice options, while the second requires a free-form numerical answer.
### Triangle ABC Consider the triangle below with vertices \( A (0, 0) \), \( B (1, 4) \), and \( C (3, 2) \). ![Graph of Triangle ABC](https://educationalwebsite.com/triangle_abc) #### Description of the Graph The graph provided is a Cartesian coordinate system with the x-axis ranging from -1 to 5 and the y-axis ranging from -1 to 5. Three points are plotted on the graph: - Point \( A \) at coordinates \((0,0)\). - Point \( B \) at coordinates \((1,4)\). - Point \( C \) at coordinates \((3,2)\). Lines are drawn between points \( A, B,\) and \( C \) to form triangle \( ABC \). **Explanation of Coordinates:** - **Point A (0, 0):** This is the origin where the x-axis and y-axis intersect. - **Point B (1, 4):** This point is situated 1 unit to the right of the origin on the x-axis and 4 units up on the y-axis. - **Point C (3, 2):** This point is situated 3 units to the right of the origin on the x-axis and 2 units up on the y-axis. **Lines and Shape:** - Line AB connects points \( A \) and \( B \), extending from \((0,0)\) to \((1,4)\). - Line BC connects points \( B \) and \( C \), extending from \((1,4)\) to \((3,2)\). - Line CA connects points \( C \) and \( A \), extending from \((3,2)\) to \((0,0)\). The shape formed by connecting these points is a triangle labeled as \( ABC \). The overall form creates a basic right triangle when analyzed within the coordinate system. This graph is useful for visualizing the spatial relationships between the vertices of the triangle and understanding basic geometric concepts.
Transcribed Image Text:### Triangle ABC Consider the triangle below with vertices \( A (0, 0) \), \( B (1, 4) \), and \( C (3, 2) \). ![Graph of Triangle ABC](https://educationalwebsite.com/triangle_abc) #### Description of the Graph The graph provided is a Cartesian coordinate system with the x-axis ranging from -1 to 5 and the y-axis ranging from -1 to 5. Three points are plotted on the graph: - Point \( A \) at coordinates \((0,0)\). - Point \( B \) at coordinates \((1,4)\). - Point \( C \) at coordinates \((3,2)\). Lines are drawn between points \( A, B,\) and \( C \) to form triangle \( ABC \). **Explanation of Coordinates:** - **Point A (0, 0):** This is the origin where the x-axis and y-axis intersect. - **Point B (1, 4):** This point is situated 1 unit to the right of the origin on the x-axis and 4 units up on the y-axis. - **Point C (3, 2):** This point is situated 3 units to the right of the origin on the x-axis and 2 units up on the y-axis. **Lines and Shape:** - Line AB connects points \( A \) and \( B \), extending from \((0,0)\) to \((1,4)\). - Line BC connects points \( B \) and \( C \), extending from \((1,4)\) to \((3,2)\). - Line CA connects points \( C \) and \( A \), extending from \((3,2)\) to \((0,0)\). The shape formed by connecting these points is a triangle labeled as \( ABC \). The overall form creates a basic right triangle when analyzed within the coordinate system. This graph is useful for visualizing the spatial relationships between the vertices of the triangle and understanding basic geometric concepts.
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