The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.
How do you find the longest side of a scalene triangle?
Recall that in a scalene triangle, all the sides have different lengths and all the interior angles have different measures. In such a triangle, the shortest side is always opposite the smallest angle. (These are shown in bold color above) Similarly, the longest side is opposite the largest angle.
What is the longest side of a scalene triangle called?
The longest side of a right- angled triangle is called the hypotenuse.
What are the sides of a scalene triangle?
Properties of the scalene triangle:
| All angles of a scalene triangle are unequal. | A scalene triangle has no line of symmetry. |
|---|---|
| All sides of the given scalene triangle are unequal. | The given triangle cannot be divided into two identical halves. There is no line of symmetry. |
Do all sides of a scalene triangle have the same length?
Sometimes called an irregular triangle. Scalene triangles are triangles where each side is a different length. … The interior angles of a scalene triangle are always all different. The converse of this is also true – If all three angles are different, then the triangle is scalene, and all the sides are different lengths.
Which is the shortest side in right angle triangle?
In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.
What does a scalene triangle look like?
A scalene triangle has three sides of different lengths. No congruent sides. Note: The angles in a scalene triangle are also of different measures. An isosceles triangle has two congruent sides.
What do 3 sides of a triangle equal?
An equilateral triangle has three equal length sides and three equal inside angles. Each of the angles measures 60º.
What is a real life example of a scalene triangle?
A real-life example of a scalene triangle is a roof truss as used in the building roofs on houses and buildings. Other examples include ramps and sails. A scalene triangle is defined as a triangle with no equal sides and no three angles the same.
What do you call the longest side of a right triangle?
The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.
What are the 7 types of triangle?
To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.
What angle is a scalene triangle?
Comparison-Scalene, Isosceles and Equilateral
| Scalene Triangle | Isosceles Triangle | Equilateral Triangle |
|---|---|---|
| All three sides are unequal | Any two sides are equal | All three sides are equal |
| All three angles are different | Angles opposite to equal sides are equal | All three angles equal to 60 degrees |
What is the rule for side lengths of a triangle?
Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
How do you classify a triangle by its length?
Classifying a triangle is as simple as comparing the sides. If all three sides have the same length then it is an EQUILATERAL triangle, if only two sides have the same length then it is an ISOSCELES triangle and if there are no sides that have the same length then it is a SCALENE triangle.
Can a scalene triangle have a 60 degree angle?
Like other triangles, all the angles inside a scalene triangle add up to 180 degrees. … 60 degrees – 60 degrees – 60 degrees is not a scalene triangle since the angle measures are not all different. 120 degrees – 10 degrees – 50 degrees is a scalene triangle since all the angle measures are different.
How do you find an angle of a triangle with 3 sides?
To solve an SSS triangle: use The Law of Cosines first to calculate one of the angles. then use The Law of Cosines again to find another angle. and finally use angles of a triangle add to 180° to find the last angle.
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In this triangle we know the three sides:
- a = 8,
- b = 6 and.
- c = 7.