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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Question
![**Problem #4: Finding the Area of the Triangle**
This problem requires finding the area of a triangle with the given side lengths. The diagram shows a triangle labeled as △ABC with the following dimensions:
- Side AB measures 7 feet.
- Side BC measures 7.2 feet.
- Side AC measures 9 feet.
To find the area of the triangle, you can use Heron's formula, which requires the semi-perimeter (s) of the triangle:
\[ s = \frac{a + b + c}{2} \]
For sides:
- \( a = 7 \) feet
- \( b = 7.2 \) feet
- \( c = 9 \) feet
Calculate \( s \) and apply Heron's formula:
\[ \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \]
Use these measurements to find the exact area of the triangle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4275793-d0d9-4c18-8132-1bc68d69e927%2F4bfdfeb3-4e15-4e18-9c26-d083e7cdeed8%2F2bvv7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem #4: Finding the Area of the Triangle**
This problem requires finding the area of a triangle with the given side lengths. The diagram shows a triangle labeled as △ABC with the following dimensions:
- Side AB measures 7 feet.
- Side BC measures 7.2 feet.
- Side AC measures 9 feet.
To find the area of the triangle, you can use Heron's formula, which requires the semi-perimeter (s) of the triangle:
\[ s = \frac{a + b + c}{2} \]
For sides:
- \( a = 7 \) feet
- \( b = 7.2 \) feet
- \( c = 9 \) feet
Calculate \( s \) and apply Heron's formula:
\[ \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \]
Use these measurements to find the exact area of the triangle.
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