Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.

Question

Mathematics

Tessa Weiss

14 December, 03:24

Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.

+4

Answers (1)

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Krista Flynn · Answer 1

A^2 + b^2 < c^2 for the triangle to be obtuse

2^2 + 4^2 < x^2

4 + 16 < x^2

20 < x^2

sqrt 20 = 4.7 approx 5

x needs to be greater than or equal to 5 for the triangle to be obtuse.

4 + 16 < 25

20 < 25