Side lengths form a triangle that is similar to triangle ABC are 30, 21, 45 and this can be determined by using the given data.
Given :
- Triangle ABC.
- AB = 10
- AC = 15
- BC = 7
The following steps can be used in order to determine the side lengths form a triangle that is similar to triangle ABC:
Step 1 - First determine the ratio of the length of AB and AC.
[tex]\rm \dfrac{AB }{AC} = \dfrac{10}{15}[/tex] --- (1)
Step 2 - Now, determine the ratio of the length of AC and BC.
[tex]\rm \dfrac{AC }{BC} = \dfrac{15}{7}[/tex] --- (2)
Step 3 - Determine the ratio of the length of BC and AB.
[tex]\rm \dfrac{AB }{BC} = \dfrac{10}{7}[/tex] --- (3)
Step 4 - Now, check the ratio of the side lengths given in option A).
[tex]\dfrac{30}{21}=\dfrac{10}{7}[/tex] (Similar to expression 3)
[tex]\dfrac{45}{21}=\dfrac{15}{7}[/tex] (Similar to expression 2)
[tex]\dfrac{30}{45}=\dfrac{10}{15}[/tex] (Similar to expression 1)
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/10652623
