Types of Triangles on the basis of Angles

There are different types of triangles on the basis of angles, they are as follows :

Acute Triangle : A triangle whose all the angles are acute ( < 900 ) is called an Acute-Angled Triangle or Acute Triangle.

Right Triangle : A triangle whose one angle is a right angle ( = 900), is called a Right-angled Triangle or Right Triangle.
A triangle can not have more than 1 right angle.

In ΔPQR, ∠P = 900
Note : The remaining two angles in a triangle are acute angles.

Obtuse Triangle : A triangle whose one angle is obtuse (≥900) is called an Obtuse-Angled triangle or Obtuse Triangle.
A triangle can not have more than one obtuse angle .

In ΔDEF, ∠E is an obtuse angle and other two angles are acute angles.

1) If the measure of two angles is same then it is Isosceles Triangle.

2) If the measures of all the three angles are same then it is an Equilateral Triangle.

Practice

Q.1 Classify the following triangles on the basis of their measurements.


Q.2 Fill in the blanks .

a) A triangle whose all the angles are of measure less than 900 is known as ----------.

b) A triangle whose one angle is a right angle is known as ----------.

c) A triangle whose one angle is more than 900 is known as ------------.

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Answer

Q.1
( i ) Acute triangle.
(ii ) Obtuse triangle.
(iii) Right triangle.
( iv ) Equilateral triangle.
(vi) Isosceles triangle.
(vii) Right triangle.

Q.2
a) Acute triangle.
b) Right triangle.
c) Obtuse triangle.
Triangles

• Introduction to Triangles
• Types of Triangles on the basis of Sides
• Types of Triangles on the basis of Angles
• Angle Sum Property of Triangles
• Exterior and Interior angles of Triangle
• Triangle Inequality Property
• Congruent Triangles
• Postulates of Congruent Triangle
• Inequality in Triangle

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