Diagonal of a rhombus are in ratio 5:12.if it's perimeter is 104cm ,find the lenght of sides and diagonal.
Answers
Answered by
4
Step-by-step explanation:
A rhombus has four sides equal in length
Hence
a=1044=26 cm
For the ratio part, let x be the common factor
so we have
one diagonal 5x and the other 12x .
So we have
Half diagonals are 2.5x and 6x .
Hence using the right-angle WOZ we have
(2.5x)^2+(6x)^2=26^2
x=4 cm
Hence the diagonals are
20 cm and 48 cm
I hope this answer will help you.....
Answered by
8
Step-by-step explanation:
ɪᴛꜱ ᴘᴇʀɪᴍᴇᴛᴇʀ ɪꜱ 104 ᴄᴍ. ᴛʜᴇʀᴇꜰᴏʀᴇ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏꜰ ᴇᴀᴄʜ ꜱɪᴅᴇ ɪꜱ 26 ᴄᴍ. ᴛʜᴇ ᴅɪᴀɢᴏɴᴀʟ ᴏꜰ ᴀ ʀʜᴏᴍʙᴜꜱ ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 5 : 12.
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