Question

Area of rhombas is 96sq.cm . One of the diagonal is 12cm find the length of its other with explaination​

Answer 1

Answer. The area of the side of the rhombus would be 10 cm. You can use the formula to find the area of the rhombus to find the length of the other diagonal and side. I hope this helps!

Answer 2

$\underline{\underline{\huge{\blue{\tt{\textbf Given :-}}}}}$

• Area of a rhombus = 96 cm²

• Length of one diagonal = 12 cm

$\underline{\underline{\huge{\blue{\tt{\textbf find :-}}}}}$

• length of other diagonals=??

$\underline{\underline{\huge{\blue{\tt{\textbf solution :-}}}}}$

As we know that area of a rhombus is given by,

Area = pq/2

Where,

• p and q are diagonals of a rhombus.

Therefore,

let's say, Length of one diagonal = 12 cm = p

• area = pq/2
• 96=12q/2
• ∴ q = 16 cm

Now,

As the diagonal bisect the rhombus into four right angle triangle.

∴ one side = 16/2 = 8 cm

other side = 12/2 = 6 cm

Now by using,

• Pythagoras theorem,

Hypotenuse = √6²+8²= 10 cm

• Hence, length of each side of the given rhombus = 10 cm