Question

PLZ HELP ASAP SOLVE SIMILAR TRIANGLES

Answer 1

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

Answer 2

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