The value of x in the similar triangles is 18
How to solve similar triangles?
Similar triangles have the same shapes but may have different sizes.
Corresponding side of similar triangles are a ratio of each other.
Therefore,
UV / BC = AU / AB
Hence,
UV = 444 units
BC = 703
AU = 20x + 108
AB = 20x + 108 + 273 = 20x + 381
Therefore,
444 / 703 = 20x + 108 / 20x + 381
cross multiply
444( 20x + 381) = 703(20x + 108)
8880x + 169164 = 14060x + 75924
8880x - 14060x = 75924 - 169164
-5180x = -93240
x = -93240 / -5180
x = 18
Therefore, the value of x in the similar triangles is 18
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