Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Find the area of the triangle whose vertices are given below.**
- A(0,0)
- B(−2,5)
- C(5,3)
---
**The area of triangle ABC is \_\_\_ square units.** *(Simplify your answer.)*
To find the area of triangle ABC with vertices A(0,0), B(−2,5), and C(5,3), use the formula:
\[ \text{Area} = \frac{1}{2} \left | x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) \right | \]
Where:
- \((x_1, y_1) = (0, 0)\)
- \((x_2, y_2) = (-2, 5)\)
- \((x_3, y_3) = (5, 3)\)
Substitute these coordinates into the formula and simplify to find the area.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff59b6538-146c-4e69-9177-ffcf13d9c3a9%2Fc1c42dca-c466-4a63-8ca4-685fa6d6ef9c%2Fft71wwf_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the area of the triangle whose vertices are given below.**
- A(0,0)
- B(−2,5)
- C(5,3)
---
**The area of triangle ABC is \_\_\_ square units.** *(Simplify your answer.)*
To find the area of triangle ABC with vertices A(0,0), B(−2,5), and C(5,3), use the formula:
\[ \text{Area} = \frac{1}{2} \left | x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) \right | \]
Where:
- \((x_1, y_1) = (0, 0)\)
- \((x_2, y_2) = (-2, 5)\)
- \((x_3, y_3) = (5, 3)\)
Substitute these coordinates into the formula and simplify to find the area.
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