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. An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°.

Altitude geometry obtuse