Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Use similar triangles to find side lengths. In the diagrams below, A ABC is similar toARST. Use a proportion with sides AB and RS tofind the scale factor of ABC to RST. Use the scale factor from Part I and a proportion to find the length of ST. Use the scale factor from Part I and a proportion to find the length of RT.

Use Similar Triangles To Find Side Lengths In The Diagrams Below A ABC Is Similar ToARST Use A Proportion With Sides AB And RS Tofind The Scale Factor Of ABC To class=

Sagot :

When we have similar triangles, we can say that all of the corresponding sides of each of the triangles are in proportion. Then we can say that:

[tex]\frac{AB}{RS}=\frac{AC}{RT}=\frac{BC}{ST}[/tex]

Since we have that the measure of sides AB and RS, we can obtain the ratio between these sides - which is, at the same time, the scale factor of triangle ABC to triangle RST:

[tex]\begin{gathered} AB=18 \\ RS=6 \\ \frac{AB}{RS}=\frac{18}{6}=3 \end{gathered}[/tex]

Therefore, the sides of the triangle ABC are 3 times greater than the sides of the triangle RST.

In summary, therefore, we can say that the scale factor of ∆ABC to ∆RST is 3. In other words, ∆ABC is 3 times greater than ∆RST, or we can say that we need to multiply the sides of ∆RST by 3 to obtain the sides of ∆ABC.

[We can also say that we need to multiply the sides of ∆ABC by 1/3 to obtain the sides of ∆RST.]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.