It is impossible to make a triangle with side lengths 4, √415, and 16 because the two side length of the triangle is always greater than the third length of the triangle.
What is the triangle?
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have side lengths of a triangle.
As we know from the definition of the triangle the sum of the two side length of the triangle is always greater than the third length of the triangle.
Also, the sum of the interior angle of a triangle is 180 degrees.
As the three lengths are 4, √415, and 16
AB + BC < AC
Let suppose:
AB = 4 units
BC = 16 units
AC = √415 units
4 + 16 < √415
Thus, it is impossible to make a triangle with side lengths 4, √415, and 16.
Learn more about the triangle here:
brainly.com/question/25813512
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