Question

The length of the diagonal of a rhombus are 12cm and 16cm,find the area of the rhombus?

Answer 1

Are of Rhombus = 1/2 × d1 × d2

= 1/2 × 12 ×16 = 96 ....cm sq.

Answer 2

Question:-

The lengths of the diagonals of a rhombus are 16cm and 12cm. then find the length of the side of rhombus

Solution:-

we know that diagonal of rhombus,bisect each other in right angle ( 90° ).

we also know that all sides of rhombus are equal ( of equal length ).

so, now

Let rhombus is ABCD and

Diagonal of rhombus are

BD = 16 cm and AC = 12 cm

means,

OD = 8 cm and AO = 6 cm

By pythagorus theorem

To find length of AD ( and all side of rhombus )

=> (AD)² = (OD)² + (AO)²

=> (AD)² = (8)² + (6)²

=> (AD)² = 64 + 36

=> (AD)² = 100

=> AD = √100

=> AD = 10 cm

=>Area of rhombus

=(product of diagonal)/2

=>Area of rhombus = (16×12)/2

=>Area of rhombus = 192/2

=>Area of rhombus = 96 cm²

Hence length of all side of rhombus

is 10 cm and Area of rhombus is

96 cm².

i hope it helps you.