The parimeters of △ABC and △DEF are 43.2 cm and 28.8 cm, respectively, and △ABC ~ △DEF. If DE = 12 cm, then the length of AB is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 18 cm
Concept of similiarity
If two triangles are similar, the ratios of the lengths of their corresponding sides are equal
Given
△ABC ~ △DEF, we know that the perimeter of similar triangles are in the same ratio:
= △ABC / △DEF = AB/DE = BC/EF= AC/DF
According to question
△ABC / △DEF = AB/DE
43.2/28.8 = AB/12
= AB = 18