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An obtuse scalene triangle is a triangle characterized by one obtuse angle (angle between 90 degrees and 180 degrees) and three sides of different lengths. These triangles are both scalene and obtuse. Triangles can be classified on the basis of side-lengths and angle measurements.
- Scalene Triangle
A scalene triangle can be defined as a triangle whose all...
- Scalene Triangle
- Scalene Triangle – Introduction
- What Is A Scalene Triangle?
- Definition of Scalene Triangle
- Types of Scalene Triangles
- Properties of A Scalene Triangle
- Angle Sum Property of A Triangle
- Area of A Scalene Triangle
- Perimeter of A Scalene Triangle
- Solved Examples on Scalene Triangle
A scalene triangle is a triangle whose all sides are unequal and all angles have different measures. We know that atriangle is a three-sided polygon that consists of three edges and three vertices. There are three types of triangle based on the length of its sides: 1. Equilateral triangle: All sides are equal in length. 2. Isosceles triangle: Two s...
A scalene triangle is a triangle in which all the sides are of different lengths and all angles are of different measures. For example: In the figure given above, all the three symbols that are given on each side are different, which denotes that all three sides are unequal. Also, all the three angles are of different measures. So, the triangle is ...
A scalene triangle can be defined as a triangle whose all three sides have different lengths, and all three angles are of different measures. The angles of a scalene triangle follow the angle sum property and always add up to 180.
A scalene triangle can be classified into three categories: 1. Acute-angled scalene triangle In an acute-angled scalene triangle, each angle of the triangle is less than 90°. In simple words, all angles are acute angles. 1. Obtuse-angled scalene triangle In an obtuse angled scalene triangle, there is one obtuse angle (between 90° and 180°) and rema...
It has three sides of different lengths.It has three angles of different measurements.It has no equal or parallel sides. Hence, there is no line of symmetryin a scalene triangle.It has no point symmetry or rotational symmetry.The sum of all three internal anglesof a scalene triangle is 180°. It is also known as the angle sum property of the triangle. In ΔABC,∠A+∠B+∠C=180° The difference in the sides or the angles do not affect the basic properties of a triangle. For example: In ΔPQR,∠P=60°,∠Q=70° By the angle sum property of a triangle ∠P+∠Q+∠R=180° 60°+70°+∠R=180° 130°...
Formula to calculate the area of a scalene triangle is the same as the formula to calculate the area of any other triangle. 1. When base and height are given Area of a triangle =12×b×hsquare units Where, “b” refers to the base of the triangle, and “h” refers to the height of the triangle. Example: Find the area of the given triangle. b=4cm and h=3c...
The perimeter of any triangle = Sum of all the sides of a triangle. If the sides of a triangle are “a” units, “b” units and “c” units, then Perimeter =a+b+cunits Example: Consider a given triangle. Perimeter of the triangle =7+12+15=34cm
1. What will be the perimeter of the trianglewith sides 10 cm, 12 cm, and 13 cm? Solution: Perimeter = Sum of all the sides of a triangle =10+12+13=35cm 2. Find the area of the triangle with sides 20 cm, 21 cm, and 29 cm. Solution: Let a=20cm,b=21cm and c=29cm s=20+21+292=702=35 Area =35(35–20)(35–21)(35–29)=35×15×14×6=210cm2 3. In PQR, ∠P=30°,∠Q=6...
In a scalene obtuse triangle, the circumcenter will lie outside the triangle. A scalene triangle can be an obtuse-angled, acute-angled or right-angled triangle. Difference Between Scalene, Isosceles and Equilateral Triangles
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An obtuse scalene triangle is a special type of triangle that shows the properties of both the obtuse triangle and scalene triangle. All three sides and angles are different in measurements. And, one of the three angles of an obtuse scalene triangle lies between 90° and 180°.
An obtuse scalene triangle is a scalene triangle (no equal sides) with 1 obtuse angle. This triangle was the only triangle with one angle greater than 90^{\circ} and less than 180^{\circ} and three unequal sides.
A scalene triangle with an obtuse angle is a type of obtuse triangle sometimes known as an obtuse scalene triangle. A scalene triangle which has three acute angles is a type of acute triangle which is sometimes known as an acute scalene triangle. Properties of triangles are very important within geometry.
A scalene triangle is a triangle in which all three sides are of different lengths, and all three angles are of different measures. However, the different measurements do not affect the sum of all the interior angles of the scalene triangle.
