volume_mute
Complete the Derivation Pattern
publish date: 2026/05/16 08:22:29.990515 UTC
A polygon with \(n\) sides can be divided into \((n-2)\) triangles. Complete the table below by dragging the correct values:
For an octagon (\(n = 8\)):
Number of triangles = 8 − 2 = (1)
Sum \(S\) = 1($) × 180° = (2)
Please drag and drop the selected option in the right place or type it instead
6
1,080°
Correct Answer
(1) 6
(2) 6
(3) 1,080°
Explanation
Continuing the pattern for an octagon (\(n = 8\)):
\[n - 2 = 8 - 2 = 6 \text{ triangles}\]
\[S = 6 \times 180° = 1{,}080°\]
Each new side adds one more triangle and 180° to the total sum.
Reference
Mathematics for college students