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Types of Triangles

A triangle whose all the sides are unequal is called a scalene triangle.

scalene triangle
AB ≠ BC ≠ AC

A triangle, two of whose sides are equal in length is called an isosceles triangle.

isosceles triangle
AB = AC ≠ BC
B = C ≠ A

A triangle, all of whose sides are equal is called an equilateral triangle.

equilateral triangle
AB = BC = AC
∠A = ∠B = ∠C = 60°

A triangle, each of whose angles is less than 90°, is called an acute triangle.

Acute Angle triangle
Acute Angle triangle

A triangle with one of its angle 90° is called a right triangle.

right triangle

A triangle with one of its angle greater than 90° is known as an obtuse triangle.

Obtuse Angle triangle
Obtuse Angle triangle

If a side of a triangle is produced, the exterior angle so formed is equal to the sum of two interior opposite angles.

opposite angles

x = A + B

A + B + C = 180°                         ....(1)

C + x = 180° (linear pair)              ....(2)

From (1) & (2)

x = A + B