Question

Q16) In the given figure if DE||BC, then x is
equal to​

Answer 1

Answer:

hey here is your answer

pls mark it as brainliest

so here we go

Step-by-step explanation:

here de parallel to bc

so as in a triangle two lines are parallel we can use basic proportionality theorem ie bpt

so then accordingly

ad/db=ae/ec

so 4/x-4=8/3x-19

cross multiply you get

4(3x-19)=8(x-4)

ie 12x-76=8x-32

so 4x=44

ie x=11

hence option b is ryt

and to verify just substitute value of x in missing terms if ratio of lhs=ratio of rhs

then we are ryt because according to basic proportionality theorem when two lines are parallel they divide two constituent sides of triangle in equal ratios