Answer:
x = 13
Step-by-step explanation:
One of the THEOREM for triangles states that, A LINE DRAWN PARALLEL TO ONE SIDE OF THE TRIANGLE DIVIDES THE OTHER TWO SIDES IN THESAME RATIO.
From the figure above:
VW is parallel to SU.
VW divides ST and TU in thesame ration.
Hence:
TV / SV = TW / UW
14 / 6 = 21 / (x - 4)
Cross Multiplying gives:
14( x - 4) = 6 * 21
14x - 56 = 126
14x = 126 + 56
14x = 182
Divide through by 14.
x = 182/14
x = 13
