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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 The Length Of The Side Marked With An XThe Missing Length X Is Centimeters class=

Sagot :

Answer:

5 centimeters.

Explanation:

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

[tex]\frac{18}{6}=\frac{15}{x}=\frac{30}{10}[/tex]

Next, solve for x:

[tex]\begin{gathered} \frac{18}{6}=\frac{15}{x} \\ 3=\frac{15}{x} \\ \text{Cross multiply} \\ 3x=15 \\ x=\frac{15}{3} \\ x=5\operatorname{cm} \end{gathered}[/tex]

The missing length, x, is 5 centimetres.

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