Calculate Deltoid Area: Given Diagonal AC=7 and Side AB=4

The area formula for deltoids is $\text{Area} = \frac{1}{2} \times d_1 \times d_2$ where both diagonals are needed. Side lengths alone don't give us enough information about the shape's interior.

You'd need both diagonal lengths. Since you have AC = 7, you'd also need the length of diagonal BD to use the formula $\text{Area} = \frac{1}{2} \times AC \times BD$.

Yes! You could use coordinate geometry if you knew the positions of all vertices, or trigonometry if you had angles and multiple side lengths. But with just one diagonal and one side, it's impossible.

Always check the formula first! For deltoids/kites, you need both diagonals. For triangles, you need base and height. Make sure you have all required measurements before starting calculations.

A deltoid (kite) has two pairs of adjacent equal sides and perpendicular diagonals. Unlike rectangles or parallelograms, you can't use base × height - you must use the diagonal formula.