Respuesta :

Trfiangles ABC and ADE are similars, because they have to congruent angles: 90° and the common angle in vertex A, they theirs sides must be proportionals:
DE/AD=BC/AB
AD=AB+BD→AD=2+1→AD=3
Replacing the values:
x/3=1/2
Solving for x. Multiplying both sides of the equation by 3:
3(x/3)=3(1/2)
x=3/2

Answer: x=3/2
carlosego
By similarity of triangles we have the following equation: 
 (x) / (3) = (1) / (2)
 Clearing the value of x we have:
 (x) = ((1) / (2)) * (3)
 Rewriting we have:
 x = 3/2
 x = 1.5
 Answer:
 The value of x for this case is given by:
 x = 1.5

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