Shown below is the deltoid ABCD.
The diagonal AC is 8 cm long.
The area of the deltoid is 32 cm².
Calculate the diagonal DB.
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Shown below is the deltoid ABCD.
The diagonal AC is 8 cm long.
The area of the deltoid is 32 cm².
Calculate the diagonal DB.
First, we recall the formula for the area of a kite: multiply the lengths of the diagonals by each other and divide the product by 2.
We substitute the known data into the formula:
We reduce the 8 and the 2:
Divide by 4
8 cm
Look at the kite ABCD below.
Diagonal DB = 10
CB = 4
Is it possible to calculate the area of the kite? If so, what is it?
Yes! A deltoid is just another name for a kite. Both shapes have two pairs of adjacent sides that are equal in length, and their diagonals are perpendicular.
The diagonals of a kite divide it into four right triangles. When you multiply the full diagonals, you're calculating twice the actual area, so dividing by 2 gives the correct result.
You'd need additional information like the lengths of the sides or angles. With just the area, you can only find one diagonal if you know the other.
Yes! In a kite, the diagonals are always perpendicular (meet at 90°). This is a special property that makes the area formula work.
Absolutely! If the area or known diagonal creates a decimal result, that's perfectly valid. Just make sure your calculation is accurate and round appropriately if needed.
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