Question

The diagonals of a Rhombus are 6cm and
8cm. Find the length of each side of a Rhombus​

Answer 1

Answer:

Each side of rhombus is 5 cm

Answer 2

$\huge\mathfrak{\underline{explanation }}$

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

Therefore,

The side of rhombus is 5cm