Calculate the area of trapezium as shown in the figure
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ᴀʀᴇᴀ=1/2×sᴜᴍ ᴏғ ᴘᴀʀᴀʟʟᴇʟ sɪᴅᴇs×ᴅɪsᴛᴀɴᴄᴇ ʙᴇᴛ-ᴡᴇᴇɴ ᴛʜᴇᴍ.
ᴀʀᴇᴀ = 1/2(ʙ1+ ʙ2)ʜ
sᴏ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜɪs ғɪɢᴜʀᴇ:-
ʙ1 = 6ᴄᴍ ᴀɴᴅ ʙ2= 6ᴄᴍ
ᴀɴᴅ ɴᴏᴡ ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ʜᴇɪɢʜᴛ
ʙʏ ᴘʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ
- ɪɴ Δ ʙᴏᴄ
- ʙᴄ²= ʙᴏ² + ᴏᴄ²
- 17² = 8² + ᴏᴄ²
- 289= 64 + ᴏᴄ²
- ᴏᴄ²= 289 - 64
- ᴏᴄ²= 225
- ᴏᴄ= 25 ᴄᴍ
sᴏ, ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛʀᴀᴘᴇᴢɪᴜᴍ ɪs 25 ᴄᴍ
ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴛʀᴀᴘᴇᴢɪᴜᴍ = 1/2(ʙ1+ ʙ2)ʜ
= 1/2(6+6) × 25
= 1/2× 12 × 25
= 6 × 25
= 150 ᴄᴍ²
sᴏ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ᴛʀᴀᴘᴇᴢɪʏᴍ ɪs 150 ᴄᴍ²
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