Question

state which of the following are triangles : A B = 28cm, BC = 10cm, AC= 8 cm.​

Answer 1

Answer:

ᴀꜱ ʟᴀʀɢᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ʀᴜʀᴀʟ ᴘᴇᴏᴘʟᴇ ᴍɪɢʀᴀᴛᴇ ᴛᴏ ᴛᴏᴡɴꜱ ɪɴ ꜱᴇᴀʀᴄʜ ᴏꜰ ᴇᴍᴘʟᴏʏᴍᴇɴᴛ. ᴛʜɪꜱ ɪɴᴄʀᴇᴀꜱᴇꜱ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ʟᴀʙᴏᴜʀᴇʀꜱ ᴡɪʟʟɪɴɢ ᴛᴏ ᴡᴏʀᴋ ʙᴜᴛ, ᴛʜᴇʀᴇ ɪꜱ ɴᴏ ꜱᴜꜰꜰɪᴄɪᴇɴᴛ ᴊᴏʙꜱ ᴀᴠᴀɪʟᴀʙʟᴇ. ᴛʜᴜꜱ, ᴛʜᴇ ᴇᴅᴜᴄᴀᴛᴇᴅ ᴜɴᴇᴍᴘʟᴏʏᴍᴇɴᴛ ɪꜱ ᴀ ᴄᴏᴍᴍᴏɴ ꜰᴇᴀᴛᴜʀᴇꜱ ɪɴ ᴛᴏᴡɴꜱ ᴀɴᴅ ᴄɪᴛɪᴇꜱ, ᴀɴᴅ ᴛʜᴇ ᴜɴᴇᴍᴘʟᴏʏᴍᴇɴᴛ ɪɴᴄʀᴇᴀꜱᴇꜱ.

Answer 2

Using Pythagoras theorem, In a Rightangled triangle AOC we have AO² + OC² = AC² ⇒ y² + x² = 3² ..y² = 9 - x² ..(1) Using Pythagoras theorem, In a Rightangled triangle AOB we have AO² + OB² =AB² ⇒ y² + (x+6)² = 8² ⇒ 9− x² + x² + 12x + 36 = 64 ⇒12x + 45 = 64 ⇒12x = 64 45 = 19 19 ⇒x= = 1.58cm 12 Hence OC = 1.58cm