Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Use similar triangles and the fact that corresponding sides are proportional to find the length of theside marked with an x.80 m20 mA16 m48 m

Use Similar Triangles And The Fact That Corresponding Sides Are Proportional To Find The Length Of Theside Marked With An X80 M20 MA16 M48 M class=

Sagot :

In both triangles, one angle is 90 degrees.

Another angle of both the triangles is shown to be equal.

Since two angles of both the triangles are equal , the third angle of both the triangles are also equal.

As all the angles of two triangles are equal, the triangles are similar.

For similar triangles, the ratio of the corresponding sides of the triangles are equal.

So, we can write

[tex]\begin{gathered} \frac{x}{48\text{ }}=\frac{20\text{ }}{80\text{ }} \\ x=\frac{20}{80}\times48 \\ x=12 \end{gathered}[/tex]

Therefore, the value of x is 12.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.