The area of rhombus is 148.8 square cm.if one of its diagonal is 19.2 cm,find the length of the other diagonals.
recall that the area of a rhombus is 1/2 the product of its diagonals.
15.5cm
To find the length of the other diagonal of the rhombus, we can use the formula for the area of a rhombus: Area = (d1 * d2) / 2, where d1 and d2 are the diagonals of the rhombus.
Given that the area of the rhombus is 148.8 square cm and one of its diagonals is 19.2 cm, we can substitute these values into the formula as follows:
148.8 = (19.2 * d2) / 2.
To solve for d2, we can multiply both sides of the equation by 2:
148.8 * 2 = 19.2 * d2.
297.6 = 19.2 * d2.
Next, divide both sides of the equation by 19.2 to isolate d2:
297.6 /19.2 = d2.
d2 ≈ 15.46875.
Therefore, the length of the other diagonal of the rhombus is approximately 15.46875 cm.
To find the length of the other diagonal of the rhombus, we can use the formula for the area of a rhombus, which is given by:
Area = (d₁ * d₂) / 2
Where "d₁" and "d₂" represent the lengths of the two diagonals of the rhombus.
We are given that the area of the rhombus is 148.8 square cm, and one of its diagonals (let's call it "d₁") is 19.2 cm. Therefore, we can substitute these values into the formula:
148.8 = (19.2 * d₂) / 2
To solve for "d₂", we can rearrange the equation and isolate the variable:
148.8 * 2 = 19.2 * d₂
297.6 = 19.2 * d₂
Now, we can solve for "d₂" by dividing both sides of the equation by 19.2:
d₂ = 297.6 / 19.2
d₂ ≈ 15.5 cm
Therefore, the length of the other diagonal (d₂) is approximately 15.5 cm.