. Which equation can you solve to determine the area of a 10-sided regular polygon by decomposing it into triangles?𝐴=6×𝑏ℎ2𝐴=10×𝑏ℎ2𝐴=8×𝑏ℎ2𝐴=4×𝑏ℎ2
Question
Which equation can you solve to determine the area of a 10-sided regular polygon by decomposing it into triangles?
- 𝐴 = 6 × 𝑏ℎ/2
- 𝐴 = 10 × 𝑏ℎ/2
- 𝐴 = 8 × 𝑏ℎ/2
- 𝐴 = 4 × 𝑏ℎ/2
Solution
To find the area of a regular 10-sided polygon (decagon), you can decompose it into 10 congruent isosceles triangles. The area of each triangle can be found using the formula for the area of a triangle, which is 1/2 * base * height (bh/2).
Since there are 10 triangles, you multiply the area of one triangle by 10. So, the equation you can use to find the area of the decagon is 𝐴=10×(𝑏ℎ/2).
Therefore, none of the provided options are correct.
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