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 the Area of the Triangle**
In the given problem, you are asked to calculate the area of a right triangle.
**Diagram Details:**
The triangle is a right triangle with the following dimensions:
- The height (perpendicular) is labeled as 90 cm.
- The base is labeled as 4 m.
**Area Calculation:**
The area \( A \) of a triangle is given by the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Ensure that the units are consistent before using the formula. Here, you need to convert the height from centimeters to meters:
90 cm = 0.9 m.
Now substitute the values into the formula:
\[
A = \frac{1}{2} \times 4 \, \text{m} \times 0.9 \, \text{m} = 1.8 \, \text{m}^2
\]
So, the area of the triangle is \( 1.8 \, \text{square meters} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1658d937-8052-45d3-ba3f-7a589de5c533%2F488e3cad-c74e-4f41-9cdd-c968bac6ddd5%2F26llg2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the Area of the Triangle**
In the given problem, you are asked to calculate the area of a right triangle.
**Diagram Details:**
The triangle is a right triangle with the following dimensions:
- The height (perpendicular) is labeled as 90 cm.
- The base is labeled as 4 m.
**Area Calculation:**
The area \( A \) of a triangle is given by the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Ensure that the units are consistent before using the formula. Here, you need to convert the height from centimeters to meters:
90 cm = 0.9 m.
Now substitute the values into the formula:
\[
A = \frac{1}{2} \times 4 \, \text{m} \times 0.9 \, \text{m} = 1.8 \, \text{m}^2
\]
So, the area of the triangle is \( 1.8 \, \text{square meters} \).
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