For the similar triangles, the value of x will be 37.
We are given the two triangles which are similar to each other.
Dimensions of the first triangle:
3 and 4
Dimensions of the second triangle:
x - 4 and x + 7
According to similarity rule, we get that:
(x - 4) / 3 = (x + 7) / 4
Cross multiply the expression:
4 x - 16 = 3 x + 21
Simplify the expression:
4 x - 3 x = 21 + 16
x = 37
Therefore, we get that, for the similar triangles, the value of x will be 37.
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