Question
Download Solution PDFஒழுங்கான பலகோணத்தின் ஒவ்வொரு உள் கோணமும் 144° ஆக இருந்தால், அதன் பக்கங்களின் எண்ணிக்கை:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது
ஒவ்வொரு உள் கோணமும் = 144°
பயன்படுத்திய சூத்திரம்
ஒவ்வொரு உள் கோணம் = 180(n - 2)/n (n = பக்கங்களின் எண்ணிக்கை)
கணக்கீடு
ஒவ்வொரு உள் கோணமும் = 144°
⇒ 180(n - 2) = 144n
⇒ n = 10
∴ பலகோணத்தின் பக்கத்தின் எண்ணிக்கை 10.
ஒவ்வொரு உள் கோணமும் = 144°
ஒவ்வொரு வெளிப்புற கோணமும் = 180 - 144 = 36°
பக்கங்களின் எண்ணிக்கை = 360/36 = 10
∴ பலகோணத்தின் பக்கத்தின் எண்ணிக்கை 10.
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