Calculate the Area of a Deltoid with Diagonals 7 and 10 Units

Given the deltoid ABCD

Find the area

To solve this problem, we need to calculate the area of the deltoid using the formula for the area in terms of diagonals:

• Identify the two diagonals: $AC = 10$ cm and $BD = 7$ cm.
• Use the formula for the area of a deltoid: $A = \frac{1}{2} \times d_1 \times d_2$.
• Substitute the values of the diagonals into the formula: $A = \frac{1}{2} \times 10 \times 7 = \frac{70}{2} = 35$.

Thus, the area of the deltoid is $\textbf{35 cm}^2$.

Therefore, the solution to the problem is $\textbf{35 cm}^2$, which corresponds to choice 3.