Question

A triangle and a parallelogram are constructed on the same base such that their areas are equal
If the altitude of the parallelogram is 100 m, then what will be the altitude of the triangle?
​

Answer 1

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large \underline \orange{ᴀɴsᴡᴇʀ:-}$

⇨ʟᴇᴛ ᴛʜᴇ ᴛʀᴀɪɴɢʟᴇ ᴀɴᴅ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ʜᴀᴠᴇ ᴄᴏᴍᴍᴏɴ ʙᴀꜱᴇ

⇨ʟᴇᴛ ᴛʜᴇ ᴀʟᴛɪᴛᴜᴅᴇ ᴏꜰ ᴛʀᴀɪɴɢʟᴇ ɪꜱ h1 ᴀɴᴅ ᴏꜰ ᴛʜᴇ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪꜱ h2( ᴡʜɪᴄʜ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ 100 ᴍ )

⇛ᴛʜᴇɴ ,

⇨ᴀʀᴇᴀ ᴏꜰ ᴛʀᴀɪɴɢʟᴇ = 12×b × h1

⇨ᴀʀᴇᴀ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ = b × h × 2

⇨ᴀꜱ ᴘᴇʀ Qᴜᴇꜱᴛɪᴏɴ = 12×b×h1 = b × h2

= 12 × b × h1 = b × 100 h1 = 100 × 2 = 200 m

⇨ 200 m

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━