The triangle has side lengths 7, 4, and 12. We are trying to find the value of x. Since the triangle is not drawn to scale, we can assume that the sides are not in the same proportion as the drawing.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle should be greater than the length of the third side. Using this theorem, we can write three inequalities:
1) 7 + 4 > 12
2) 7 + 12 > 4
3) 4 + 12 > 7
Solving these inequalities:
1) 11 > 12, which is false
2) 19 > 4, which is true
3) 16 > 7, which is true
Since the first inequality is false, the side lengths provided cannot form a triangle. Therefore, there is no value of x that would form a valid triangle with the given side lengths.
what is the value of x? the figure is not drawn to scale
the shape is triangle
7 4 12
show work
you should get x = 21
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