Find the percentage increase in the area of a triangle if its each side is doubled.
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Step-by-step explanation:
By applying hero's formula:
∆ = √s(s-a)(s-b)(s-c)
∆` = √2s(2s-2a)(2s-2b)(2s-2c)
= 4 ∆
So, % increase = 300
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ᴛʜᴇ ᴘʀᴜᴅᴇɴᴛɪᴀʟ ʀᴇᴀsᴏɴ ɪɴ ᴛʜᴇ ɢɪᴠᴇɴ ᴘᴀssᴀɢᴇ ɪs – “ɢɪᴠɪɴɢ ᴘᴏᴡᴇʀ ᴛᴏ ᴘᴀɴᴄʜᴀʏᴀᴛs ɪs ᴀʟsᴏ ᴀ ᴡᴀʏ ᴛᴏ ʀᴇᴅᴜᴄᴇ ᴄᴏʀʀᴜᴘᴛɪᴏɴ ᴀɴᴅ ɪɴᴄʀᴇᴀsᴇ ᴀᴅᴍɪɴɪsᴛʀᴀᴛɪᴠᴇ ᴇғғɪᴄɪᴇɴᴄʏ.”..
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