![]() In the given obtuse triangle ΔABC, we know that a triangle has three altitudes from the three vertices to the opposite sides. Once the height is obtained, we can find the area of an obtuse triangle by applying the formula mentioned below. Since an obtuse triangle has a value of one angle more than 90°. To find the area of an obtuse triangle, a perpendicular line is constructed outside of the triangle where the height is obtained. Perimeter of obtuse-angled triangle = (a + b + c) units. Hence, the formula for the perimeter of an obtuse-angled triangle is: The perimeter of an obtuse triangle is the sum of the measures of all its sides. Let's learn each of the formulas in detail. There are separate formulas to calculate the perimeter and the area of an obtuse triangle. Therefore, it is called an obtuse-angled triangle or simply an obtuse triangle. ![]() The triangle below has one angle greater than 90°. Centroid and incenter lie within the obtuse-angled triangle while circumcenter and orthocenter lie outside the triangle. Therefore, a right-angle triangle cannot be an obtuse triangle and vice versa. Similarly, a triangle cannot be both an obtuse and a right-angled triangle since the right triangle has one angle of 90° and the other two angles are acute. Hence, the triangle is an obtuse-angled triangle where a 2 + b 2 < c 2Īn obtuse-angled triangle can be a scalene triangle or isosceles triangle but will never be equilateral since an equilateral triangle has equal sides and angles where each angle measures 60°. For example, in a triangle ABC, three sides of a triangle measure a, b, and c, c being the longest side of the triangle as it is the opposite side to the obtuse angle. The side opposite to the obtuse angle is considered the longest. if one of the angles measure more than 90°, then the sum of the other two angles is less than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if a triangle has only acute angles, that is, if all the angles of that triangle are less than 90°, then it is an acute triangle.An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°.if a triangle has an obtuse angle, that is, if one of the angles of that triangle is larger than 90°, then it is an obtuse triangle.The opposite side to the right angle is the hypotenuse. if a triangle has a right angle, that is, if one of the angles of that triangle measures 90° (90 degrees), then it is a right triangle.Triangles can also be grouped by their angles: if all the three sides of a triangle have different lengths, then we have a scalene triangle.if a triangle has two sides with the same length, then it is an isosceles triangle.if all the three sides of a triangle have the same length, then it is an equilateral triangle.Triangles can be grouped according to how many of their sides are equal: Types of triangles This is an isosceles right triangle, because it has a right angle and two of its sides have the same length. Modern computers usually use triangles to make more complex graphic images or shapes. The study of geometry related to triangles is called trigonometry. A triangle with vertices A, B, C is written as △ A B C. ![]() ![]() It is the polygon with the least possible number of sides. The three angles of a triangle always add up to 180° (180 degrees). It has three straight sides and three vertices. A black triangleĪ triangle is a shape, or a part of two dimensional space. For other uses, see Triangle (disambiguation).
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