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Triangle classification based on angles
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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
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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.
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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.
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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
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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
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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
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Try these Determine the kind of triangle if the three angles are
95O , 60O , 25O 85O , 45O , 50O
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