That's a scalene triangle.
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply 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. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
right angle triangle
You cannot construct a triangle ABC if the lengths of the sides do not 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. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
That's a scalene triangle.
The Pythagorean theorem says; a^2 + b^2 = c^2 a = 6 b = 6 c = 10 6^2 + 8^2 = 100 could be a right triangle
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply 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. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
If its a right angle triangle then its side lengths could be 3, 4 and 5
right angle triangle
You cannot construct a triangle ABC if the lengths of the sides do not 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. For example, if the side lengths are 2, 3, and 6, then 2 + 3 is not greater than 6, making it impossible to form a triangle. Additionally, if any side length is zero or negative, a triangle cannot be formed.
No. With the given side lengths the sum of the two shorter sides do not exceed the length of the longest side and would not meet to form a triangle
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
The triangle with side lengths of 6, 7, and 8 is classified as a scalene triangle. This is because all three sides have different lengths, and no two sides are equal. Additionally, since the lengths do not satisfy the conditions for an equilateral or isosceles triangle, scalene is the only classification that applies.
Because all side lengths are different, it must be a scalene triangle.
The triangle with side lengths of 6, 7, and 8 is classified as a scalene triangle because all three sides have different lengths. Additionally, it is not a right triangle, as the square of the longest side (8) is not equal to the sum of the squares of the other two sides (6 and 7). Thus, it is simply a scalene triangle.