Question

in the adjoining figure PQ perpendicular to BC and AD perpendicular to BC pq is equal to 4 AD is equal to 6 write down the following ratios first A(∆pQB)/A(ADB) and second is A(PBC)/A(ABC)​

Answer 1

ᴀʀᴇᴀ ᴏғ ᴛʀɪᴀɴɢʟᴇ = 1/2 × ʙ × ʜ

ᴀʙᴄ ᴀɴᴅ ʙᴄᴅ ᴀʀᴇ ᴛʀɪᴀɴɢʟᴇ ʟʏɪɴɢ ʙᴇᴛᴡᴇᴇɴ sᴀᴍᴇ ᴘᴀʀᴀʟʟᴇʟs ᴀɴᴅ ʜᴀᴠɪɴɢ ᴛʜᴇ sᴀᴍᴇ ʙᴀsᴇ ʙᴄ. 

ᴀ1 :

ᴀʀᴇᴀ ᴏғ ᴛʀɪᴀɴɢʟᴇ ᴀʙᴄ = 1/2 × ʙᴄ × ᴀᴘ

ᴀ2:

ᴀʀᴇᴀ ᴏғ ᴛʀɪᴀɴɢʟᴇ ʙᴄᴅ = 1/2 × ʙᴄ × ᴀᴘ

ɴᴏᴡ 

ᴀ1 : ᴀ2 = 1 : 1