Question

the length of two diagonals of a rhombus are 6 cm and 8 cm . what is the length of its sides

Answer 1

The diagonals of a rhombus are 6 cm and 8 cm. What is the perimeter of the rhombus?

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!

Diagonal 6cm = 3cm + 3cm = legs of right triangle within rhombus.

Diagonal 8cm = 4cm + 4cm = legs of right triangle within rhombus.

We need to find the side of the rhombus using the Pythagorean Theorem.

After that, we use the formula P = 4s to find your perimeter.

Let s = side of rhombus.

3^2 + 4^2 = s^2

9 + 16 = s^2

25 = s^2

5 = s

Now that we know the side of the rhombus, apply P = 4s.

P = 4(5)

P = 20cm