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

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

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

Step 1: Understand that the area of a rhombus can be calculated using the formula: Area = (1/2) × d1 × d2, where d1 and d2 are the lengths of the diagonals.
Step 2: Identify the values given in the problem. The area is 72 square cm and one diagonal (d1) is 12 cm.
Step 3: Substitute the known values into the area formula: 72 = (1/2) × 12 × d2.
Step 4: Simplify the equation. First, calculate (1/2) × 12, which equals 6. So, the equation becomes: 72 = 6 × d2.
Step 5: To find d2, divide both sides of the equation by 6: d2 = 72 / 6.
Step 6: Calculate the result: d2 = 12 cm.

Area of a Rhombus – The area of a rhombus can be calculated using the formula Area = (1/2) × d1 × d2, where d1 and d2 are the lengths of the diagonals.
Properties of Diagonals – In a rhombus, the diagonals bisect each other at right angles.