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To represent the lengths of the sides of a triangle, the numbers must satisfy the triangle inequality theorem. This means that the sum of the lengths of any two sides must be greater than the length of the third side. For example, the set of numbers 3, 4, and 5 can represent the sides of a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
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Could the side lengths 9 15 and 10 represent a right triangle?
No. In order to be the sides of a right triangle, the square of one of the numbers must be the sum of the squares of the other two numbers. (the square of 9) + (the square of 10) = 181 but (the square of 15) = 225 .
Which set of 3 numbers could be the side lengths of a triangle apex?
To determine if three numbers can be the side lengths of a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For example, the set of numbers 3, 4, and 5 satisfies this criterion, as 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Thus, 3, 4, and 5 could be the side lengths of a triangle.
How do you determine which numbers could respresent sides of a right triangle?
Pick three numbers. If the square of the largest number is equal to the sum of the squares of the other two, then the three numbers could represent the sides of a right triangle.
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
Which formula using letters could relate the lengths of side with the perimeter?
The formula that relates the lengths of the sides of a polygon to its perimeter is given by ( P = a + b + c + \ldots ), where ( P ) represents the perimeter and ( a, b, c, \ldots ) represent the lengths of the individual sides. For a triangle, for example, the perimeter can be expressed as ( P = a + b + c ), where ( a, b, ) and ( c ) are the lengths of the triangle's sides.
A triangle has two sides that have lengths of 8 cm and 14 cm what lengths could not represent the length of the third side?
7cm
Could the side lengths 9 15 and 10 represent a right triangle?
No. In order to be the sides of a right triangle, the square of one of the numbers must be the sum of the squares of the other two numbers. (the square of 9) + (the square of 10) = 181 but (the square of 15) = 225 .
Which three measurements could be the length of the sides of a triangle?
The list that accompanies the question doesn't contain any numbers that could be the lengths of the sides of a triangle.
Can a triangle have a negative side?
The sides of a triangle are its lengths are cannot be negative. However, you could place a triangle on coordinate system and some points where the vertices are could be negative numbers.
Which set of numbers can not represent the lengths of the sides of a triangle?
There are lots of sets of numbers that fit that definition! But the important thing to remember about triangles is the Third Side Rule, or the Triangle Inequality, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. So you can have a triangle with sides of 3, 4 and 5 because 3 < 4 + 5, 4 < 3 + 5 and 5 < 3 + 4; and because 3 > 5 - 4, 4 > 5 - 3 and 5 > 4 - 3. But you can't have a triangle with sides 1, 2 and 8, for example. Just imagine three pieces of wood or three straws with lengths 1, 2 and 8. Put the longest piece, 8, horizontally on the table. Then put the other two, one at each end of the longest piece. Could those two shorter sides ever meet to form a triangle? No, never!-----------------------------------------------------------------------------------------------------------The length is always positive, so that all real positive numbers can represent the length of sides of a triangle: {x| x > 0}.------------------------------------------------------------------------------------------------------------Whoever added that to my answer, sorry, I beg to differ! The question asked what SET of numbers cannot represent the lengths of the sides of a triangle. There are infinite possibilities for that. While the lengths are always a set of real positive numbers, not every possible set of real positive numbers is a potential set of numbers that represent the lengths of the sides of a triangle!
Which set of 3 numbers could be the side lengths of a triangle apex?
To determine if three numbers can be the side lengths of a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the remaining side. For example, the set of numbers 3, 4, and 5 satisfies this criterion, as 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3. Thus, 3, 4, and 5 could be the side lengths of a triangle.
How do you determine which numbers could respresent sides of a right triangle?
Pick three numbers. If the square of the largest number is equal to the sum of the squares of the other two, then the three numbers could represent the sides of a right triangle.
Does 5cm 5cm 5cm make a triangle?
5cm, 5cm, and 5cm could represent the lengths of the sides of an equilateral triangle, or might indicate the length, width, and height of a cube.
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
What are the side lengths of a triangle with an area of 6?
If its a right angle triangle then its side lengths could be 3, 4 and 5
Which formula using letters could relate the lengths of side with the perimeter?
The formula that relates the lengths of the sides of a polygon to its perimeter is given by ( P = a + b + c + \ldots ), where ( P ) represents the perimeter and ( a, b, c, \ldots ) represent the lengths of the individual sides. For a triangle, for example, the perimeter can be expressed as ( P = a + b + c ), where ( a, b, ) and ( c ) are the lengths of the triangle's sides.
What are the sets of numbers could be the lengths of the sides of a triangle?
i dont undstand exactly what your asking but the name for it is a phythangorean triple like 3,4, & 5
