If the area of a rhombus is 72 cm² and one diagonal is 12 cm, what is the length

If the area of a rhombus is 72 cm² and one diagonal is 12 cm, what is the length of the other diagonal?

If the area of a rhombus is 72 cm² and one diagonal is 12 cm, what is the length of the other diagonal?

Step 1: Write down the formula for the area of a rhombus, which is Area = (d1 × d2) / 2.
Step 2: Substitute the known values into the formula. We know the area is 72 cm² and one diagonal (d1) is 12 cm.
Step 3: The equation now looks like this: 72 = (12 × d2) / 2.
Step 4: To eliminate the fraction, multiply both sides of the equation by 2. This gives us: 144 = 12 × d2.
Step 5: Now, to find d2, divide both sides by 12. This gives us: d2 = 144 / 12.
Step 6: Calculate the division: d2 = 12 cm.

Area of a Rhombus – The area of a rhombus can be calculated using the formula Area = (d1 × d2) / 2, where d1 and d2 are the lengths of the diagonals.
Diagonals of a Rhombus – In a rhombus, the diagonals bisect each other at right angles, and knowing one diagonal allows for the calculation of the other when the area is known.