(Obtuse Angle Triangle) The triangle is a closed two-dimensional figure that will always have three angles and three sides and depending upon both of these points they can be categorized into different kinds of options.
Depending upon the sides and the interior angles of the triangle different types of triangles can be obtained for example- obtuse triangle in which one of the interior angles of the triangle will be obtuse or in simple words, it will be more than 90° but less than 180°.
If in the case of a triangle one angle is obtuse then the other two will definitely be acute and this particular triangle is known as the obtuse triangle.
Acute and right triangles are two kinds of triangles apart from the obtuse which are dependent upon the types of angles and the best example of acute as well as obtuse angle will be a scalene triangle.
The sum of interior angles of the obtuse triangle will always be equal to 180° only and this will make sure that the angle of some property of any kind of wrangle will always remain the same.
The acute angle is the line segments that are joined in such a way that the angle between both of them is less than 90° and this will always result in the formation of an acute angle triangle.
On the other hand, the right-angle triangle will be the one in which the line segment will be exactly perpendicular to another line segment and will be joining different kinds of points.
The formula for the area and perimeter of the obtuse angle triangle will be similar to the formula of any other kind of triangle and have been given as follows:
- The area of a triangle is equal to 1/2 into base into height
- The perimeter of the triangle is equal to the sum of all three sides of the triangle
How will you come to know that a particular triangle is obtuse?
In the cases of any given two angles of a triangle, one can very easily determine if the triangle is obtuse or not.
The triangle will always be the obtuse angle if the sum of the squares of the smaller sides will be less than the square of the largest side. It can be explained as follows:
- A squared plus B square should always be less than C square
Following are the most common properties of the obtuse angle triangle:
- The sum of the two angles other than the obtuse angles will be less than 80°
- The side opposite to the obtuse angle will be the longer side of the triangle
- The obtuse triangle will only have one and one obtuse angle and the other two will be acute.
- The points of concurrency, the orthocentre and the circumcentre will always lie outside the obtuse triangle and on the other hand centroid as well as incentre will lie inside the triangle.
Being clear about all the above-mentioned properties of the obtuse angle triangle and area of equilateral triangle is very much important for the kids so that they can solve the questions very easily and are very much successful in dealing with various kinds of real-life situations and problems without any kind of problem.
Another bifurcation of the triangles can be an acute-angled triangle, a right-angle triangle, and several other kinds of available options.
So, being clear about every bifurcation of the types of triangles is very much important for the kids so that they score well in the exams and there is not any confusion at any point in time throughout the process.
Further depending upon the professional platforms like Cuemath is a very good idea for the kids so that they have a good command over the subject and can clear their doubts very professionally and in a hassle-free manner through the experts of industry present over there.