The area of a rhombus is 148.8 cm2.if one of its diagonals is 19.2cm.find the length of the other diagonal.
3.5 cm
area=19.2*L/2
L=148.4*2/19.2
To find the length of the other diagonal of the rhombus, we can use the formula for the area of a rhombus:
Area = (1/2) * d1 * d2
where d1 and d2 are the lengths of the diagonals.
We are given that the area is 148.8 cm^2 and one diagonal is 19.2 cm. Let's plug these values into the formula and solve for the other diagonal:
148.8 cm^2 = (1/2) * 19.2 cm * d2
To isolate d2, we can multiply both sides of the equation by 2:
2 * 148.8 cm^2 = 19.2 cm * d2
297.6 cm^2 = 19.2 cm * d2
Now, let's divide both sides of the equation by 19.2 cm to solve for d2:
d2 = 297.6 cm^2 / 19.2 cm
d2 ≈ 15.5 cm
Therefore, the length of the other diagonal of the rhombus is approximately 15.5 cm.
To find the length of the other diagonal, we can use the formula for the area of a rhombus. The formula for the area of a rhombus is given by:
Area = (diagonal1 * diagonal2) / 2
Given that the area of the rhombus is 148.8 cm^2 and one of the diagonals is 19.2 cm, we can substitute these values into the formula to solve for the length of the other diagonal:
148.8 = (19.2 * diagonal2) / 2
To find the length of the other diagonal, we can rearrange the equation by multiplying both sides by 2 and dividing both sides by 19.2:
297.6 = 19.2 * diagonal2
Now, we can solve for the length of the other diagonal by dividing both sides by 19.2:
diagonal2 = 297.6 / 19.2
diagonal2 = 15.5 cm
Therefore, the length of the other diagonal is 15.5 cm.