Diagonals of a rhombus are 6cm and 8 cm. Find the length of the side of the rhombus.
To find the length of the side of the rhombus, we can use the formula for the relationship between the diagonals and the sides of a rhombus.
The formula states that the length of each side of a rhombus is equal to half the square root of the sum of the squares of the lengths of the diagonals.
Let's use this formula to find the length:
Side length = (1/2) * √(6^2 + 8^2)
= (1/2) * √(36 + 64)
= (1/2) * √(100)
= (1/2) * 10
= 5 cm
Therefore, the length of each side of the rhombus is 5 cm.
Because all sides of a rhombus are the same length, you only need to find one side. The diagonals divide the rhombus into 4 equal right triangles.
The diagonals/2 give length of two of the triangle sides. So one side will be 3 and the other 4. Use the Pythagorean Theorem to solve for the hypotenuse. The hypotenuse is equal to to side length.