Question

area of rombus is 350cm² and one of its diagonal measures 28cm find the lenght of the other diagonal​

Answer 1

ᗩᑎՏᗯᗴᖇՏ:-

Area of a rhombus =21×(diagonal 1×diagonal 2)

Given, Area =28 cm2

∴21×4×diagonal 2=28 cm2

Hence, diagonal 2=14 cm

In a rhombus, the diagonals bisect each other at 900

Referring the diagram, if PR=4 cm,SQ=14 cm, then OP=2 cm,OQ=7 cm 

Since, △POQ is a right angled triangle, 

PQ2=OP2+OQ2⇒22+72=53

PQ=53 cm 

Hence, the length of the sides of the rhombus =53 cm.

Since the length of all sides of a rhombus are equal, Perimeter =4× length of one side =4×53 cm

ᕼOᑭᗴ ITᘔ ᕼᗴᒪᑭՏ

Answer 2

Answer:

area of rhombus =1/2 x d1 x d2

350= 1/2 x 28 x d2

350/14 = d2

d2=25