Question

➠The area of a rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.​

Answer 1

Answer:

The area of rhombus is 240cm2 (given)

We know that A rhombus has two diagonal,which connect the opposite vertices and parallel sides. Thus using congruent triangles it can be said that a rhombus is a symmetry along diagonals.

Therefore, the area of rhombus= 1/2D1*D2

= 1/2*16*D2

Now the area of rhombus is given as 240cm2 which if equated gives..

240=1/2*16*D2

So, D2=30cm

Answer 2

Step-by-step explanation:

this is a rhombus of area 240cm^

let's it's sides be a,b,cand d

let's up denote of one of the diagonls as d

and d'

it is given that one of the diagonal d is 16 cm

d'=be×cm

the formula of area of rhombus is area =1/2×d×d'

the area of rhombus abcd=1/2×X

240=1/2×16×X

X=240×2×1/16

X=240/8

X=30cm