Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.*
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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
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Step 1

From the triangle:

Algebra homework question answer, step 1, image 1

height, AD=6 cmbase, BC=21 cm.

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