Question

The ratio of the sides lenghts of a triangle is 3:6:8, and it's perimeter is 136 cm what is the length of the shortest side,in cm

Answer 1

Given :-

The ratio of the sides lenghts of a triangle is 3:6:8, and it's perimeter is 136 cm

To Find :-

Length of shortest side

Solution :-

Let the sides be 3x, 6x and 8x

3x + 6x + 8x = 136

17x = 136

x = 136/17

x = 8

Shortest side = 3x = 3(8) = 24 cm

Answer 2

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$\boxed{\underline{\sf{This\:sum\:is\:from\:chapter\:-\:\bold{Quadrilaterals}}}}$

$\large\underline\bold\red{Given:-}$

✯ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏꜰ ᴛʜᴇ ꜱɪᴅᴇꜱ ʟᴇɴɢᴛʜ ᴏꜰ ᴀ ᴛʀɪᴀɴɢʟᴇ ɪꜱ 3:6:8, ᴀɴᴅ ɪᴛ'ꜱ ᴘᴇʀɪᴍᴇᴛᴇʀ ɪꜱ 136 ᴄᴍ ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ꜱʜᴏʀᴛᴇꜱᴛ ꜱɪᴅᴇ, ɪɴ ᴄᴍ.

$\large\underline\bold\red{To\:Find:-}$

✯ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ꜱʜᴏʀᴛᴇꜱᴛ ꜱɪᴅᴇ, ɪɴ ᴄᴍ.

$\large\underline\bold\red{Solution:-}$

✯ ʟᴇᴛ ᴛʜᴇ ꜱɪᴅᴇꜱ ᴏꜰ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ʙᴇ 3x, 6x ᴀɴᴅ 8x ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ

✯ ᴛʜᴇɴ,

☞ 3x + 6x + 8x = 136

☞ 17x = 136

☞ x = $\sf\frac{136}{17}$

☞ x = ${\small{\boxed{\red{8}}}}$ ★

$\implies$ ꜱʜᴏʀᴛᴇꜱᴛ ꜱɪᴅᴇ = 3x

⠀⠀ㅤㅤ⠀⠀ ⠀⠀ㅤ⠀ ⠀= (3 × 8) ᴄᴍ

⠀⠀ㅤㅤ⠀⠀ ⠀⠀ㅤ⠀ ⠀= 24 ᴄᴍ