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Scotty is making a train of dominoes on the floor.10 Dominoes8 DominoesHow many dominoes are needed to complete thetriangle?6121836

Scotty is making a train of dominoes on the floor.10 Dominoes8 DominoesHow many dominoes-example-1
User Brian Laframboise
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1 Answer

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25 votes

a The given triangle is right-angle triangle.

So, we can use the Pythagoras formula,


H^2=P^2+B^2\ldots(1)

Here,


\begin{gathered} H=10 \\ B=8 \end{gathered}

Then from equation (1)


\begin{gathered} H^2=P^2+B^2 \\ (10)^2=P^2+(8)^2 \\ P^2=100-64 \\ P^2=36 \\ P=\sqrt[]{36} \\ P=6 \end{gathered}

So, the required number of dominoes is 6.

Hence, the correct option is option A.

User Nowhere
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