Question

Solve the equation
Complete using the provide data and solve

Answer 1

VM = 20

Explanation:

Basic proportionality theorem or Thale's theorem:

If a line is drawn parallel to one side of a triangle to intersect the other sides in two side in distinct points, the other two sides are divided in the same ratio.

VN = VT - NT

= 49 - 14

= 35

`\sf (VM)/(MU) = (VN)/(NT)\\\\\\(VM)/(8)=(35)/(14)\\\\\\(VM)/(8)=(5)/(2) \\\\\\VM = (5)/(2)*8\\\\VM=5*4\\\\\boxed{\bf VM = 20}`