Question

How much longer is the hypotenuse of the triangle than its shorter leg?

Triangle A B C. Side A C is 6 feet and side C B is 8 feet. Hypotenuse A B is unknown.
2 ft
4 ft
8 ft
10 ft

answer is 4ft

Answer 1

Solution Below

Step-by-step explanation:

Hey! Refer to the Attachement!

Also the same Sum I've Done Below.

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• Given and To Find out :

Side AC = 6ft

Side CB = 8ft

Hypotenuse = ?

Difference = ?

• Required Solution :

– Calculate the hypotenuse using the Pythagoras Theorem.

c = hypotenuse

a = short leg

b = long leg

$∴{c}^{2} = {a}^{2} + {b}^{2}$

Let's Substitute :

$∴ {c}^{2} = {6}^{2} + {8}^{2}$

Also, Let's Simplify :

${c}^{2} = 36 + 64$

${c}^{2} = 100$

$c = 10 \: (taking \: square \: root)$

– Calculate the difference between the hypotenuse and the shorter leg.

Difference = Hypotenuse - Side AC [ a- short Leg]

$= 10 - 6$

$= 4ft$

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Hope It Helps You :)

Answer 2

ᴛʜᴇ ᴀʙᴏᴠᴇ ᴀɴꜱᴡᴇʀ ɪꜱ ᴄᴏʀʀᴇᴄᴛ! ᴛʙʜ, ɪ ʜᴀᴠᴇ ɴᴏ ꜰʀᴇᴀᴋɪɴɢ ɪᴅᴇᴀ ᴀʙᴏᴜᴛ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ ᴀɴᴅ ɪ ʜᴀᴠᴇɴ'ᴛ ᴇᴠᴇɴ ᴄʜᴇᴄᴋᴇᴅ ᴛʜᴇ ᴀɴꜱᴡᴇʀ ʙᴜᴛ ɪ ᴄᴀɴ ꜱᴜʀᴇʟʏ ꜱᴀʏ ᴛʜᴀᴛ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴀɴꜱᴡᴇʀ ɪꜱ ᴀᴄᴄᴜʀᴀᴛᴇ. ᴡᴇʟʟ, ᴍᴀʀᴋ ᴛʜᴇ ᴀʙᴏᴠᴇ ᴀɴꜱᴡᴇʀ ᴀꜱ ʙʀᴀɪɴʟɪᴇꜱᴛ ᴀɴꜱᴡᴇʀ ᴏʀ ʟᴇᴍᴍᴇ ᴋɴᴏᴄᴋ ʏᴏᴜʀ ꜰᴀᴄᴇ ᴏꜰꜰ!