Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![# Educational Resource on Calculating the Area of a Triangle
## Arithmetic Readiness: Area of a Triangle
### Instructions
Find the area of the triangle below. Be sure to include the correct unit in your answer.
### Triangle Description
The triangle is shown as a right triangle with one horizontal side labeled "21 cm" (the base), and a perpendicular vertical line from the opposite vertex to the base (the height) labeled "6 cm." There's another side labeled “14 cm,” which is the hypotenuse of the triangle.
### Area Calculation
To calculate the area of the triangle, use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Substitute the known values:
- Base = 21 cm
- Height = 6 cm
\[ \text{Area} = \frac{1}{2} \times 21 \, \text{cm} \times 6 \, \text{cm} = 63 \, \text{cm}^2 \]
### Interactive Features
- **Input Box:** Enter the calculated area.
- **Unit Selector (`cm^2`):** Ensure the unit is correct.
- **Buttons:**
- **Explanation:** Provides step-by-step guidance.
- **Check:** Verifies your answer.
*Note: This educational tool encourages learning through interactive engagement. Always ensure calculations are correct and double-checked when using educational software.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe83af5ed-54b5-49f8-a30b-03cf66c2f19a%2F8f95cb4e-40a7-4948-bb7f-fa5e268151c1%2F53cqkph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Educational Resource on Calculating the Area of a Triangle
## Arithmetic Readiness: Area of a Triangle
### Instructions
Find the area of the triangle below. Be sure to include the correct unit in your answer.
### Triangle Description
The triangle is shown as a right triangle with one horizontal side labeled "21 cm" (the base), and a perpendicular vertical line from the opposite vertex to the base (the height) labeled "6 cm." There's another side labeled “14 cm,” which is the hypotenuse of the triangle.
### Area Calculation
To calculate the area of the triangle, use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
Substitute the known values:
- Base = 21 cm
- Height = 6 cm
\[ \text{Area} = \frac{1}{2} \times 21 \, \text{cm} \times 6 \, \text{cm} = 63 \, \text{cm}^2 \]
### Interactive Features
- **Input Box:** Enter the calculated area.
- **Unit Selector (`cm^2`):** Ensure the unit is correct.
- **Buttons:**
- **Explanation:** Provides step-by-step guidance.
- **Check:** Verifies your answer.
*Note: This educational tool encourages learning through interactive engagement. Always ensure calculations are correct and double-checked when using educational software.*
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