Question

In Triangle ABC, AB = 6√3cm, AC = 12cm and BC = 6cm, then find √B​

Answer 1

☺Question:-

In Triangle ABC, AB = 6√3cm, AC = 12cm and BC = 6cm, then find √B

☺Solution:-

☞Given:-

AC=12

⇒(AC)² = 144☺

☞By formula:-

AB=6√3,BC=6

⇒(AB)² +(BC)² =( 6√3 )²+6² =108 + 36 =144

⇒(AC)²= (AB)² +(BC)² ☺

Pythagoras theorem is applicable and AC is the longest side.

☞Therefore:-

∠B=90☺

☞Good question !

Keep questioning ☺️.......... .

______Thanks and Regards_______

Answer 2

Hey friend..!

Here your your answer...!

Question:-

Iɴ Tʀɪᴀɴɢʟᴇ ABC, AB = 6√3ᴄᴍ, AC = 12ᴄᴍ ᴀɴᴅ BC = 6ᴄᴍ, ᴛʜᴇɴ ғɪɴᴅ √B.

To Find:-

• √B ɪɴ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ

Given:-

• ABC, AB = 6√3ᴄᴍ, AC = 12ᴄᴍ ᴀɴᴅ BC = 6ᴄᴍ,

Solution:-

$ac = 12 \\ = {(ac)}^{2} = 144 \\ ab = 6 \sqrt{3} \: \: and \: bc = 6 \\ = {(ab)}^{2} + {(bc)}^{2} = {(6 \sqrt{3)} }^{2} + {6}^{2} \\ = 108 + 36 = 144 \\ = {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2}$

Notes:-

• Pʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ ɪs ᴀᴘᴘʟɪᴄᴀʙʟᴇ ᴀɴᴅ AC ɪs ᴛʜᴇ ʟᴏɴɢᴇsᴛ sɪᴅᴇ.

Therefore:-

• √B= 90

Hᴏᴘᴇ ɪᴛ ᴡɪʟʟ ʜᴇʟᴘ ʏᴏᴜ ☺️

Gᴏᴏᴅ Qᴜᴇsᴛɪᴏɴ ❗ Kᴇᴇᴘ ᴀsᴋɪɴɢ ❗