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Given two sides with lengths 34 and 14 which of the following lengths would NOT work for the third side of a triangle?
There are not any following lengths in the question to compare. Using the sizes given, and Pythagorean Theorem, the Hypotenuse of the triangle is 36.76 - which will have to do!
Given two sides with lengths 3x and 5x plus 4 which of the following lengths would NOT work for the third side of a triangle?
9x + 5
How can you tell if the given lengths can be the sides of a triangle?
you can fine the perimeter
What are all the possible lengths for the sides of a triangle if the triangle's perimeter is 17 and the lengths of the sides are integers?
The sum of the lengths of two sides of a triangle must be greater than the length of the third so the following eight triangles will do: (1,8,8), (2,7,8), (3,6,8), (3,7,7), (4,5,8), (4,6,7), (5,5,7) and (5,6,6).
What is a statement of the triangle inequality theorem?
The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Specifically, if a triangle has sides of lengths (a), (b), and (c), then the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). This theorem is fundamental in geometry as it ensures that a valid triangle can be formed with the given side lengths.
Can the set of lengths be the side lengths of a right triangle 7ft 12ft 17ft?
No because the given sides do not comply with Pythagoras' theorem for a right angle triangle.
What is the difference between a scalene an isosceles and an equilateral triangle?
A scalene triangle has 3 sides of different lengths An isosceles triangle has 2 sides of equal lengths An equilateral triangle has 3 sides of equal lengths
What are the lengths of the sides of an obtuse triangle?
The 3 sides have different lengths
What is the converse to the following statement the perimeter of a triangle is the sum of the lengths of its sides?
Pie equals 3.14159267584921
Lengths of a scalene triangle sides?
All three sides have different lengths.
What are the kinds of triangle according to measure of sides?
An isosceles triangle has 3 sides 2 of which are equal in lengths An equilateral triangle has 3 sides all of which are equal in lengths
How is a square and equilateral triangle the same?
A square's sides have equal lengths, and an equilateral triangle's sides also have equal lengths.
