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
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.
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
If its a right angle triangle then its side lengths could be 3, 4 and 5
right angle triangle
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.
Because all side lengths are different, it must be a scalene triangle.
Yes. For example, place the 6 as the base, and the 3 and 4 sloping up from that base.
Yes
It is sqrt(6^2 + 5^2) = sqrt(36+25) = sqrt(61) = 7.8102, approx.
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