Question

in ∆abc ab=6 √3cm A=18cm BC=9 FIND THE MEASURE OF ANGLE C​

Answer 1

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• ʜᴇʀᴇ , ɪɴ ∆ ᴀʙᴄ , ᴡᴇ ʜᴀᴠᴇ
• ᴀʙ=6√3
• ʙᴄ=9ᴄᴍ
• ᴀᴄ= 18ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ ,

ᴀʙ²=(6√3)²=108

ʙᴄ²=9²=81

ꜱɪɴᴄᴇ , 108+81 = 189

ɪ.ᴇ ᴀʙ²+ʙᴄ²=ᴀᴄ²

ᴀɴɢʟᴇ ᴀ= 18ᴄᴍ . ..

. ᴀ-ᴀʙ= ʙ

108-18 = ʙ= 90°

ꜱᴏ ... ᴀ + ʙ + ᴄ = 180°

18+90+ᴄ= 180 °

108-180°= 72 ..

ᴠᴀʟᴜᴇ ᴏꜰ ᴄ = 72°