Which side lengths form a triangle that is similar to triangle ABC

Answer:

A.

Step-by-step explanation:

Bc if you multiply every side by 3 you get the answer choices in answer A.

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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 :

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).

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