Video: Finding the Area of a Kite Given the Length of the Diagonals

Given 𝐴𝐢 = 45 and 𝐡𝐷 = 31, find the area of the kite 𝐴𝐡𝐢𝐷.

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Video Transcript

Given 𝐴𝐢 equals 45 and 𝐡𝐷 equals 31, find the area of the kite 𝐴𝐡𝐢𝐷.

Let’s have a look at our kite and transfer the length information that we’re given. We’re told that 𝐴𝐢 is 45 and 𝐡𝐷 is 31. As we’re given the two lengths of the diagonals, this means that it’s fairly easy to find the area of the kite using the formula the area of a kite could be found by 𝑝 times π‘ž over two, where 𝑝 and π‘ž are the lengths of the diagonals. So, using the formula, we substitute our values of 45 and 31 for our two diagonals, giving us 45 times 31 over two. Since 45 times 31 is 1395, we now need to divide this by two, giving us 697.5. And this is our final answer for the area of the kite 𝐴𝐡𝐢𝐷.

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