Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.The missing length, x, is ____centimeters.

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Llimllib asked Apr 21, 2023

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Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an x.The missing length, x, is ____centimeters.

Use similar triangles and the fact that corresponding sides are proportional to find-example-1

Mathematics
college

Llimllib asked Apr 21, 2023

by Llimllib

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Answer:

5 centimeters.

Step-by-step explanation:

Given the two similar triangles, the ratio of the corresponding sides are:

Next, solve for x:

$\begin{gathered} (18)/(6)=(15)/(x) \\ 3=(15)/(x) \\ \text{Cross multiply} \\ 3x=15 \\ x=(15)/(3) \\ x=5\operatorname{cm} \end{gathered}$

The missing length, x, is 5 centimetres.

Lernerbot answered Apr 26, 2023

by Lernerbot

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