construct ∆XYZ such that XY=6.7cm,YZ= 5.8 cm, XZ=6.9cm . Construct its incircle.
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Sᴛᴇᴘs ᴏғ Cᴏɴsᴛʀᴜᴄᴛɪᴏɴ:
1.Cᴏɴsᴛʀᴜᴄᴛ △XYZ ᴏғ ɢɪᴠᴇɴ ᴅɪᴍèɴsɪᴏɴs.
2.Dʀᴀᴡ ʙɪsᴇᴄᴛᴏʀs ᴏғ ᴛᴡᴏ ᴀɴɢʟᴇs, ∠X ᴀɴᴅ ∠Y.
3.Dᴇɴᴏᴛᴇ ᴛʜᴇ ᴘᴏɪɴᴛ ᴏғ ɪɴᴛᴇʀsᴇᴄᴛɪᴏɴ ᴀs O.
4.Dʀᴀᴡ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ OA ᴏɴ XY.
5.Dʀᴀᴡ ᴀ ᴄɪʀᴄʟᴇ ᴡɪᴛʜ O ᴀs ᴄᴇɴᴛᴇʀ ᴀɴᴅ OA ᴀs ʀᴀᴅɪᴜs.
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here is your answer
List of numbers becomes 5, 7, 9. 11, …
Here,7 – 5 = 9 – 7 = 11 – 9 = 2 and soon. So, it forms an A.P. with common difference d = 2.
To find S24, we have n = 24, a = 5, d = 2.
S24 = (24/2) [2 x 5 + (24 – 1) x 2] = 12 [10 + 46] = 672
So, sum of first 24 terms of the list of numbers is 672.
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