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The length of the altitude is
The similarity statement about the triangles is
The value of x in the pentagon is 21
The value of x is solved by applying the the proportions of the pentagon
20 / 15 = 18 / 13.5 = 4/3
therefore, 12 * 4/3 = x - 5
16 = x - 5
16 + 5 = x
x = 21
The altitude of the right triangle
h / 14 = 4 / h
h^2 = 14 * 4
h^2 = 56
h = sqrt (56)
h = 7.5
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