Question

area of a rhombus is 96 sa.cm .one
diagonals is 12 cm find the length of its
side​

Answer 1

Answer:

10cm

Step-by-step explanation:

Given measurement of one of the diagonals

= 12cm

Given area = 96cm²

Other diagonal = (2 × 96cm²) ÷ 12cm = 16cm

Now , imagine that the diagonals are bisecting each other . This will create 4 line segments from the centre point .

So , half of the diagonals will become two sides of a triangle ( ∵ The diagonals of a rhombus divide it into 4 congruent triangles . )

So , sides of the triangle = 6cm , 8cm and x

According to the Pythagoras theorem ,

x² = 6² + 8²

⟹ x² = 36 + 64

⟹ x² = 100

⟹ x = √100

⟹ x = 10

∴ The length of the sides of the rhombus is 10cm each .

Answer 2

I hope it is helpful for u