An acute triangle sometimes known as a scalene triangle has 3 different side lengths and 3 different interior acute angles that add up to 180 degrees
Three different side lengths and three different acute interior angles.
To determine if a triangle is acute, obtuse, or right based on its side lengths, you can use the Pythagorean theorem. For a triangle with sides (a), (b), and (c) (where (c) is the longest side), if (a^2 + b^2 = c^2), the triangle is right. If (a^2 + b^2 > c^2), it is acute, and if (a^2 + b^2 < c^2), it is obtuse.
A polygon with three acute angles is known as an acute triangle. In an acute triangle, all interior angles are less than 90 degrees. This type of triangle can have varying side lengths, making it scalene, isosceles, or equilateral, but the defining characteristic is that each angle remains acute.
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
ScaleneIt is a scalene triangle that has 3 different side lengths and 3 different acute angles that add up to 180 degrees.
Three different side lengths and three different acute interior angles.
To determine if a triangle is acute, obtuse, or right based on its side lengths, you can use the Pythagorean theorem. For a triangle with sides (a), (b), and (c) (where (c) is the longest side), if (a^2 + b^2 = c^2), the triangle is right. If (a^2 + b^2 > c^2), it is acute, and if (a^2 + b^2 < c^2), it is obtuse.
15,36 answer: 45
24
80
equilateral acute
By using trigonometry that is applicable to a right angle triangle.
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
The answer depends on what information you do have about the triangle: the lengths of the other two sides, or the hypotenuse (longest side) and one of the acute angles, or the other leg and one of the acute angles, etc.
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ScaleneIt is a scalene triangle that has 3 different side lengths and 3 different acute angles that add up to 180 degrees.