Question

definition of similar figures practice
complete this assessment to review what youve learned. it will not count toward your grade.

similar scalene triangles are drawn on a coordinate plane. one triangle has side lengths of 1, 4, and 6. the other triangle has side lengths of 3 and 12, corresponding to the first triangle. use the sss criterion to determine the third side length of the corresponding triangle. (1 point)

check answer remaining attempts : 3

Explanation:

Step1: Identify the scale factor

For the corresponding sides, we have one side of the first triangle as 1 and the corresponding side of the second triangle as 3. So the scale factor \( k \) is \( \frac{3}{1}=3 \). Another pair: first triangle side 4, second triangle side 12. Scale factor \( \frac{12}{4} = 3 \), which is consistent.

Step2: Find the third side

The first triangle has a third side of 6. To find the third side of the similar triangle, we multiply by the scale factor 3. So \( 6\times3 = 18 \).

Answer:

18