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Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
![### Triangle Area Calculation Problems
**11. Find the area of the triangle:**
- \( a = 75.4 \)
- \( b = 52 \)
- \( c = 52 \)
**12. Find the area of the triangle:**
- \( a = 3.05 \)
- \( b = 0.75 \)
- \( c = 2.45 \)
#### Instructions
To find the area of these triangles, you can use Heron's formula:
1. Calculate the semi-perimeter \( s \) using the formula:
\[
s = \frac{a + b + c}{2}
\]
2. Use Heron's formula to find the area \( A \):
\[
A = \sqrt{s(s-a)(s-b)(s-c)}
\]
Substitute the given side lengths into the formulas to determine the area for each triangle.](https://content.bartleby.com/qna-images/question/c7826bd8-3d7b-4015-b1e0-3b1ffd0b423a/312e0528-8f21-4ce3-bd94-c44d7a1ab084/tjo70f_thumbnail.jpeg)
Transcribed Image Text:### Triangle Area Calculation Problems
**11. Find the area of the triangle:**
- \( a = 75.4 \)
- \( b = 52 \)
- \( c = 52 \)
**12. Find the area of the triangle:**
- \( a = 3.05 \)
- \( b = 0.75 \)
- \( c = 2.45 \)
#### Instructions
To find the area of these triangles, you can use Heron's formula:
1. Calculate the semi-perimeter \( s \) using the formula:
\[
s = \frac{a + b + c}{2}
\]
2. Use Heron's formula to find the area \( A \):
\[
A = \sqrt{s(s-a)(s-b)(s-c)}
\]
Substitute the given side lengths into the formulas to determine the area for each triangle.
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