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The triangles are similar, solve for the question mark. A Z с ? 15 10 12 B X D E 8 8 18 12.5 0 24

The triangles are similar, solve for the question mark. A Z с ? 15 10 12 B X D E 8 8 18 12.5 0 24-example-1
User Gergely Bacso
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1 Answer

23 votes
23 votes

Answer:

18

Step-by-step explanation:

The triangles are similar if their sides are proportional. It meant that the ratio of AB to CD is equal to the ratio of AE to CE, so we can write the following equation:


\begin{gathered} (AB)/(CD)=(AE)/(CE) \\ (15)/(10)=(AE)/(12) \end{gathered}

So, we can solve for AE as:


\begin{gathered} (15)/(10)\cdot12=(AE)/(12)\cdot12 \\ 18=AE \end{gathered}

Therefore, the measure of AE is 18

User Tomor
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