Triangle classification based on angles

TRIANGLES (line segments) closed plane figure is called a triangle.  We have already learnt that a three sided (line segments) closed plane figure is called a triangle. When the three sides of a triangles meet, they also form three angles. So it is called a

Different Types of Triangles There are several different types of triangles. You can classify a triangle by its sides and its angles. There are THREE different classifications for triangles based on their sides. There are THREE different classifications for triangles based on their angles.

Classification based on angles Acute angled triangle: If each angle of a triangle is an acute angle, it is called an acute angled triangle. Obtuse angled Triangle: In a triangle, if one angle is an obtuse angle, then the triangle is called an obtuse angled triangle.

Right angled Triangle: In a triangle, if any one angle is a right angle, then the triangle is called a right angled triangle. Q1:- Determine the kind of triangle if the three angles are Ans:- In ∆ABC , = 70O , = 60O , = 50O. All the angles in the triangle are less than 90O. So, ∆ABC is an Acute angled triangle. ABC BCA CAB

Q2:- Determine the kind of triangle if the three angles are Ans:- In ∆PQR , = 120O , = 40O , = 20O. So, ∆PQR is an Obtuse angled triangle. RPQ PQR QRP Q3:- Determine the kind of triangle if the three angles are Ans:- In ∆XYZ , = 90O , = 50O , = 40O. So, XYZ is an Right angled triangle. XYZ YZX ZXY

Q4:- Determine the kind of triangle if the three angles are 30O , 100O , 50O Ans:- In the triangle, one of the angle is greater than 90O. So, it is an Obtuse angled triangle   Q5:- Determine the kind of triangle if the three angles are 40O , 50O , 90O In the triangle, one of the angle is 90O. So, it is an Right angled triangle. Q6:- Determine the kind of triangle if the three angles are 50O , 60O , 70O In the triangle, all the angles are less than 90O. So, it is an Acute angled triangle

Try these Determine the kind of triangle if the three angles are 95O , 60O , 25O 85O , 45O , 50O