Calculate Deltoid Area: Using 12cm and 16cm Diagonals

ABDC is a deltoid.

AB = BD

DC = CA

AD = 12 cm

CB = 16 cm

Calculate the area of the deltoid.

161616121212CCCAAABBBDDD

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the kite's area
00:03 Let's use the formula for calculating a kite's area
00:12 (diagonal multiplied by diagonal) divided by 2
00:18 Let's substitute appropriate values and solve to find the area
00:34 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABDC is a deltoid.

AB = BD

DC = CA

AD = 12 cm

CB = 16 cm

Calculate the area of the deltoid.

161616121212CCCAAABBBDDD

2

Step-by-step solution

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

3

Final Answer

96 cm²

Practice Quiz

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Indicate the correct answer

The next quadrilateral is:

AAABBBCCCDDD

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