Question

The length of the diagonal of a rhombus
Are 12cm and,16cm find the side of the
Rhombus

Answer 1

Answer:

10 cm

Step-by-step explanation:

• all the sides of rhombus are equal and the diagonals bisect eachother at 90 degree
• so apply pythagoras theorem on a triangle made by half of diagonals with side
• $x {}^{2} = 8 {}^{2} + {6}^{2}$
• where let x be the side of rhombus solving this we get x =10 cm

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

Let, diagonal of rhombus

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

Hence length of all side of rhombus

is 10 cm.

i hope it helps you.