Question

if the sides of a rhombus are 5 cm each and one diagonal is 8 cm, calculate
(1) the length of the other diagonal, and (ii) the area of the rhombus.​

Answer 1

sᴏʟᴜᴛɪᴏɴ:- ʀᴇғᴇʀ ɪɴ ɢɪᴠᴇɴ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ..

Answer 2

Diagonals bisect each other and they are perpendicular in rhombus

Let half the length of second diagonal be x

As two diagonals and a side form right angled triangle ;

⇒xsquare +4square= 5 square

=>x= 3

=> length of second side = 2x = 6 cm

area of rhombus =1/2 d1 d2

= 1/2 × 8 ×6

= 24cm square