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Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write the lengths in simplest radical form and as a decimal rounded to the tenth place .

Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write-example-1
User Fyrkov
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1 Answer

5 votes

Answer:


|WX|=|XY|=√(18) =3√(2)\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=√(34) \:Units \:or\: 5.8 \:Units

Explanation:

Theorem: The diagonals of a kite are perpendicular.

Let O be the point of intersection of the diagonals,

Applying Pythagoras Theorem, in right triangle WOX


|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=√(18) =3√(2)\:Units \:or\: 4.2 \:Units

Applying Pythagoras Theorem, in right triangle WOZ


|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=√(34) \:Units \:or\: 5.8 \:Units

Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write-example-1
User Daniel Walter
by
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