Triangle

INTRODUCTION

A triangle is a geometric figure defined by three points that do not lie on the same line. It has three sides, three angles, and three vertices.

TYPES OF TRIANGLES

BASED ON SIDES:

• EQUILATERAL: All sides are of equal length.
• ISOSCELES: Two sides are of equal length.
• SCALENE: All sides have different lengths.

BASED ON ANGLES:

• ACUTE-ANGLED (OR ACUTE): All angles are acute (less than 90°).
• RIGHT-ANGLED (OR RIGHT): One angle measures 90°.
• OBTUSE-ANGLED (OR OBTUSE): One angle is obtuse (greater than 90°).

PROPERTIES OF TRIANGLES

• The sum of the interior angles is always 180°.
• The longer side lies opposite the larger angle.
• TRIANGLE INEQUALITY: The sum of the lengths of any two sides is always greater than the length of the third side.

IMPORTANCE OF TRIANGLES

Triangles are fundamental figures in geometry, construction, and mathematics. They are often used in calculations of lengths and angles.

CONCLUSION

A triangle is a basic geometric figure with three sides and three angles. Its properties are crucial in mathematical and technical analyses.