Question
Download Solution PDFO అనేది త్రిభుజం PQR యొక్క అంతఃకేంద్రం. కోణం POR = 140 డిగ్రీలు అయితే, కోణం PQR ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
POR = 140 డిగ్రీలు
ఉపయోగించిన భావన:
త్రిభుజం యొక్క అంతఃకేంద్రం త్రిభుజం యొక్క అన్ని భుజాలకు సమానంగా వంగి ఉంటుంది.
అంతఃకేంద్రం వద్ద కోణం = 90° + శీర్ష కోణం/2
గణన:
భావన ప్రకారం,
90° + ∠PQR/2 = 140°
⇒ ∠PQR/2 = 140° - 90°
⇒ ∠PQR/2 = 50°
⇒ ∠PQR = 100°
∴ కోణం PQR 100°.
Last updated on Jun 13, 2025
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