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The perimeter of a triangle ABC is 100 cm.The length of AB is 45 cm and the length of BC is 32 cm.What is the length ofCA?

User Toli
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1 Answer

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Recall that the perimeter of the triangle ABC is given by the following formula:


Perimeter=AB+BC+CA\text{.}

Substituting the given data we get:


100\operatorname{cm}=45\operatorname{cm}+32\operatorname{cm}+CA\text{.}

Solving the above equation for CA we get:


\begin{gathered} CA=100\operatorname{cm}-45\operatorname{cm}-32\operatorname{cm} \\ =23\operatorname{cm}\text{.} \end{gathered}

Answer: The length of CA is 23cm.

User Paullth
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