Mathematics

Mathematics, 13.09.2019 17:20, jtgarner402

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. the lengths of two sides of a triangle are 20 ft and 33 ft. find the possible lengths of the third side.
the third side must have a length greater than ? ft and less than ? ft.

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Mathematics, 27.07.2019 12:00, gonjul5045

Raj made this argument: the triangle inequality theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. for this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. however, for a right triangle, the pythagorean theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. therefore, since the pythagorean theorem is known to be correct, and since right triangles should adhere to the triangle inequality theorem, the triangle inequality theorem must be incorrect. what is wrong with raj’s argument?

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Mathematics, 28.07.2019 02:40, judyd452

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. the lengths of two sides are 13 ft and 22 ft. find the lengths of the third side

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Mathematics, 13.09.2019 17:20, kaileyy06

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. the lengths of two sides of a triangle are 17 ft and 24 ft. find the possible lengths of the third side. the third side must have a length greater than ? and less than ? ft.

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Mathematics, 23.10.2019 19:00, nevelle

Section 9.4 a-triangle inequality theoremtriangle inequality theoremthan thethe sum of the lengths of any two sides of a triangle islength of the third side.example: determine if the given side lengths form a triangle.a) 4, 5, 10b) 4, 5,9c) 4,5,7practice: the triangle inequality theorem states that the sum of the lengths of any two sides of atriangle is greater than the length of the third side. using this theorem, answer the followingquestions.1) if two sides of a triangle are 1 and 3, the third side may be: (a) 5(b) 2(c) 3(d) 42) if the lengths of two sides of a triangle are 5 and 7, the length of the third side may not be: (a) 12(b) 7(d) 5(c) 3

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