Question

Do the sides 7 cm, 24cm, 25cm form a Right angled triangle? If so, write

the length of the Hypotenuse​

Answer 1

☃ ᴀɴꜱᴡᴇʀ:- ☃

ʜᴇʀᴇ ᴛʜᴇ ʟᴀʀɢᴇsᴛ sɪᴅᴇ ɪs ᴄᴍ.

ᴀɴᴅ ᴛʜᴇ ᴏᴛʜᴇʀ sɪᴅᴇ ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ɪs ᴄᴍ & ᴄᴍ.

ᴛᴀᴋᴇ sǫᴜᴀʀᴇ ᴏғ ᴛᴡᴏ sɪᴅᴇs ᴀɴᴅ ᴀᴅᴅ ᴛʜᴇᴍ

=(7)²+(24)²= 49 +576

=625

ɴᴏᴡ ᴡᴇ ᴄᴀɴ ᴡʀɪᴛᴇʀ ʀʜs ᴏғ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴀs

(625)=(25)²

(7)²+(24)²=(25)²

ᴛʜᴇ ɢɪᴠᴇɴ sɪᴅᴇ sᴜɪᴛ ᴛʜᴇ ᴘʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ.

ᴛʜᴇ sᴜᴍ ᴏғ ᴏғ sǫᴜᴀʀᴇ ᴏғ sɪᴅᴇs ɪs ᴇǫᴜᴀʟ ᴛᴏ sǫᴜᴀʀᴇ ᴏғ ᴛʜᴇ ʟᴀʀɢᴇsᴛ sɪᴅᴇs.

:.ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ғᴏʀᴍᴇᴅ ʙʏ sɪᴅᴇs 7ᴄᴍ,24ᴄᴍ, ᴀɴᴅ 25ᴄᴍ ɪs ᴀ ʀɪɢʜᴛ ᴛʀɪᴀɴɢʟᴇ ʜᴀᴠɪɴɢ ʜʏᴘᴏᴛᴇɴᴜsᴇ 25ᴄᴍ.

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✌✌

Answer 2

Step-by-step explanation:

To find the sides are right angle triangle or not we find it by pythagoras theorem which is that in every right angle triangle the sum of the square of two legs is less than the square of the hypotenuse(Hypotenuse is the longest side in a right angle triangle)

Now verifying the fact

So according to the pythagoras theorem

$\bf{7}^{2} + {24}^{2} = {25}^{2} \\ \bf calculating \\ \bf 49 + 576 = 625 \\ \bf\red{625 = 625} \\ \bf\red{pythagoras \: theorm \: verified} \\ \tt \: this \: is \: a \: right \: angle \: triangle \\ \mathbb 25cm \: is \: hypotenuse$