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66. Find the length of the missing side. Drawing not to scale.8A. 48B. 28C. 100D. 10

66. Find the length of the missing side. Drawing not to scale.8A. 48B. 28C. 100D. 10-example-1

1 Answer

2 votes

The three sides of a right-angled triangle follow the Pythagoras theorem, i.e


\text{Hypothenus}^2=opposite^2+adjacent^2

From the given triangle,


\begin{gathered} \text{opposite = 6} \\ \text{adjacent = 8} \\ \text{hypothenus = ?} \end{gathered}

Using the theorem, we can obtain the length of the missing side:


\begin{gathered} \text{Hypothenus}^2=6^2+8^2 \\ \text{Hypothenus =}\sqrt[]{100} \\ =\text{ 10} \end{gathered}

The correct option is D

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