ABDC is a deltoid.
AB = BD
DC = CA
AD = 12 cm
CB = 16 cm
Calculate the area of the deltoid.
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ABDC is a deltoid.
AB = BD
DC = CA
AD = 12 cm
CB = 16 cm
Calculate the area of the deltoid.
First, let's recall the formula for the area of a rhombus:
(Diagonal 1 * Diagonal 2) divided by 2
Now we will substitute the known data into the formula, giving us the answer:
(12*16)/2
192/2=
96
96 cm²
Look at the deltoid in the figure:
What is its area?
A deltoid (kite) has two pairs of adjacent equal sides: AB = BD and DC = CA. This creates perpendicular diagonals, which is key to using the diagonal area formula!
The diagonals split the deltoid into four triangles. The formula calculates the total area of these triangles efficiently.
Diagonals connect opposite vertices. In deltoid ABDC, the diagonals are AD (12 cm) and CB (16 cm) - they cross inside the shape at right angles.
No! This formula only works when diagonals are perpendicular (meet at 90°). It works for deltoids, rhombuses, and squares, but not rectangles or parallelograms.
It doesn't matter! Since you're multiplying the diagonals, the order doesn't change the result: 12 × 16 = 16 × 12 = 192, then ÷ 2 = 96 cm².
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