Question

if diagonals of a rhombus are 30cm and 16cm .find the length of rhombus​

Answer 1

Answer:

Step-by-step explanation:

Lets consider the name of rhombus ABCD. And the intersection point of diagonal be O.

Lets consider the triangle AOB. We know that angle O is 90°.

So through pythagoras theorem,

OA² + OB² = AB².

AB = Root over ( OA² + OB²)

AB = Root over [( 30/2)² + (16/2)²]

AB = Root over [15² + 8²]

AB = Root over [225 + 64]

AB = Root over (289)

AB = 17

So, Length of each side of rhombus is 17cm

Perimeter = 17 × 4 = 68cm

Hope this helps..