Respuesta :

Answer:

The triangle won't exist.

Step-by-step explanation:

If the two shorter lengths add up to be shorter than the longest length, the triangle can't exist.

Given the length of the sides of the triangle, it is an acute angle triangle.

What is an acute angle triangle?

An acute angle triangle is a triangle in which all the interior angles are acute angles. To recall, an acute angle is an angle that is less than 90°.

Given three sides a, b, c of a triangle, where a < b < c.

If [tex]a^{2} + b^{2} < c^{2}[/tex], we can say that the triangle is acute.

Since, [tex]3^{2} + 16^{2} = 265 < 289 = 17^{2}[/tex], given triangle is acute.

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