Use the side-splitter theorem to solve for x in the triangle below. 11 Х 44 36

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RollerCosta asked Dec 25, 2023

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39 votes

Use the side-splitter theorem to solve for x in the triangle below. 11 Х 44 36

Mathematics
college

RollerCosta asked Dec 25, 2023

by RollerCosta

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1 Answer

20 votes

The triangle has another smaller triangle inserted into it as shown by the parallel lines.

By applying the side splitter theorem, the sides of the triangle becomes

$\begin{gathered} (11)/(44)=(x)/(36) \\ \text{This means the proportion formed by the two lines on one side is equal to that formed by the two lines on the other side} \\ \text{Cross multiply and you have;} \\ 44x=11*36 \\ x=(11*36)/(44) \\ x=(1*36)/(4) \\ x=9 \end{gathered}$

Therefore x = 9

Austin Marshall answered Dec 30, 2023