CLASS-7
OBTUSE ANGLED TRIANGLE

OBTUSE ANGLED TRIANGLE -

An obtuse triangle is a type of triangle in which one of the interior angles is greater than 90°, but less than 180°. This larger angle is called the obtuse angle. Here are the key properties of an obtuse triangle:

  • One obtuse angle:-  One of the angles is greater than 90°, making the triangle "spread out." The other two angles are acute (less than 90°), and the sum of all three angles is 180°.
  • No right angles:-  An obtuse triangle cannot have a 90° angle or any angle greater than the obtuse one.
  • Types of obtuse triangles:- 

           a) Scalene obtuse triangle:- All sides and angles are different, with one angle being obtuse.

           b) Isosceles obtuse triangle:- Two sides are equal in length, and one angle is obtuse.

  • Height:- The height drawn from the vertex of the obtuse angle will fall outside the triangle, as the obtuse angle "opens up" the triangle.

Obtuse triangles are used in geometry to represent wide and spread-out shapes, and their properties are key in various mathematical problems.