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Determine and state the area of triangle PQR, whose vertices have coordinates P(-2. -5). Q(3. 5). and R(6.1).

Determine and state the area of triangle PQR, whose vertices have coordinates P(-2. -5). Q(3. 5). and R(6.1).

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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Question
**Determine and State the Area of Triangle PQR** This task involves calculating the area of a triangle with given vertices on a coordinate plane. The vertices of triangle PQR are: - P(-2, -5) - Q(3, 5) - R(6, 1) The image includes a grid with labeled axes that can help in plotting these points and forming the triangle visually. The task is to use these coordinates to determine the area of the triangle. One method to find the area of a triangle given its vertices is by using the formula: \[ \text{Area} = \frac{1}{2} \left| x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) \right| \] Apply this formula by substituting the coordinates of P, Q, and R into the equation.
Transcribed Image Text:**Determine and State the Area of Triangle PQR** This task involves calculating the area of a triangle with given vertices on a coordinate plane. The vertices of triangle PQR are: - P(-2, -5) - Q(3, 5) - R(6, 1) The image includes a grid with labeled axes that can help in plotting these points and forming the triangle visually. The task is to use these coordinates to determine the area of the triangle. One method to find the area of a triangle given its vertices is by using the formula: \[ \text{Area} = \frac{1}{2} \left| x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) \right| \] Apply this formula by substituting the coordinates of P, Q, and R into the equation.
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