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You must have more information to determine what type of triangle it is. If two of the lengths are equal, it is isosceles. If all three of the lengths are equal, it is equilateral. If none of them are equal, it is scalene. It may also be a right triangle if it is isosceles or scalene.

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When do three side lengths measures form a triangle?

Three side lengths can form a triangle if they 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 third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.


Can 7 8 and 9 be side lengths of a right triangle?

Yes... but not of the same right triangle. A right triangle's side lengths a, b, and c must satisfy the equation a2 + b2 = c2.


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.


What is the rule that we know about side lengths of triangles?

The rule governing the side lengths of triangles is known as the Triangle Inequality Theorem. It states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This means that if you have sides of lengths (a), (b), and (c), the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). If any of these conditions are not met, a triangle cannot be formed.


What is the formula commonly used to represent the pythagorean theorem?

A squared + b squared = c squared For a right triangle A b c side lengths For a and b legs of the triangle C hypotenuse of triangle which is the side opposite the right angle

Related Questions

When do three side lengths measures form a triangle?

Three side lengths can form a triangle if they 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 third side. This must hold true for all three combinations of the side lengths. For example, if the side lengths are (a), (b), and (c), then (a + b > c), (a + c > b), and (b + c > a) must all be true. If any of these conditions are not met, the side lengths cannot form a triangle.


Can 7 8 and 9 be side lengths of a right triangle?

Yes... but not of the same right triangle. A right triangle's side lengths a, b, and c must satisfy the equation a2 + b2 = c2.


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.


What is the rule that we know about side lengths of triangles?

The rule governing the side lengths of triangles is known as the Triangle Inequality Theorem. It states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This means that if you have sides of lengths (a), (b), and (c), the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). If any of these conditions are not met, a triangle cannot be formed.


Measurements of the sides of a right triangle?

In a right triangle, the side lengths follow Pythagora's Theorem: a^2 + b^2 = c^2; where a and b represent the lengths of the legs and c represents the hypotenuse.


If a triangle has side lengths a b and c and if a2 b2 c2 then the converse of the Pythagorean theorem says that the triangle is an?

Right triangle (apex)


What is the formula commonly used to represent the pythagorean theorem?

A squared + b squared = c squared For a right triangle A b c side lengths For a and b legs of the triangle C hypotenuse of triangle which is the side opposite the right angle


How do you find the area and perimeter of a triangle?

Area:A=1/2bhA=Area b=Base h=HeightPerimeter:P=a+b+cP=Perimeter a,b,c=side lengths of the triangle


What is the area of an equilateral triangle with side lengths of 6 inches?

A triangle with side a: 6, side b: 6, and side c: 6 inches has an area of 15.59 square inches.


How do you find the side lengths of the lengths a and b on a triangle?

It depends very much on what information is given. In the last resort, you just get a ruler and measure them!


Consider a triangle with side lengths a and b and hypotenuse length c If then the converse of the Pythagorean theorem says that the triangle is a right triangle?

If it weren't, it wouldn't have a hypotenuse!


Which set of side lengths will not form a right triangle?

Plug the side lengths into the Pythagorean theorem in place of a and b. If a2 + b2 = c2, it's a right triangle. C needs to be an integer, so c2 will be a perfect square.