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Answer #8 that can be seen on the picture please.

Answer #8 that can be seen on the picture please.-example-1

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\begin{gathered} <strong>EXPLANATION</strong><p>The given triangle is an isosceles right triangle. This implies that the two angles that are not 90 degrees are equal and both have a measure of 45 degrees.</p><p></p><p>This implies that:</p>[tex]\begin{gathered} To find the missing side lengths, we have to apply the Pythagoras theorem:[tex]TD^2+DO^2=TO^2

Since it is an isosceles triangle, the two sides TD and DO are equal. This implies that:


\begin{gathered} TD^2+TD^2=TO^2 \\ \Rightarrow2TD^2=14^2^{}=196 \\ \Rightarrow TD^2=(196)/(2)=98^{} \\ \Rightarrow TD=\sqrt[]{98}=\sqrt[]{7\cdot7\cdot2} \\ TD=7\sqrt[]{2} \end{gathered}

Therefore:


DO=7\sqrt[]{2}

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