Question

If △ ABC ~ △ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.

49/9
36/49
49/16
25/49

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Answer 1

$\huge \purple A \purple N \purple s \purple W \purple e \purple \R : -$

We know that the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

Therefore ,

Area of ( ∆ ABC ) / Area of ( ∆ DEF ) = AB^2 / DE^2

=> Area of ( ∆ ABC ) / Area of ( ∆ DEF )

=> ( 1.2 )^2 / ( 1.2 )^2

=> ( 12/14 )^2

=> 36/49

Hence 36/49 is your answer

Answer 2

Answer:

36/49

Step-by-step explanation:

(12) squer / (14) squer =144/196=72/98=36/49