Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Question
# 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.*
expand button
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.*
Expert Solution
Check Mark
Step 1

From the triangle:

Algebra homework question answer, step 1, image 1

height, AD=6 cmbase, BC=21 cm.

Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education