Answers

  • Brainly User
2016-02-24T14:04:29+08:00
Proof: If two triangles are similar, the ratio of their areas is the square of the ratio of their corresponding sides.

Given: 
   Side of smaller triangle:  2 units
   Corresponding side in the larger triangle:  x
   Ratio of areas⇒  1: 4

Equation:
 
   1        (2)²
------ = --------  
   4        (x)²
 
   
   1         4
------  =  ------
    4        x²
 
  (1) (x²) = (4) (4)
 
   x² = 16 
 
    \sqrt{ x^{2} } = \sqrt{16 }
 
   x = 4 units

ANSWER:  The measure of the corresponding side in larger triangle is 4 units.





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