Area of triangle

Objective:

To show that the area of a triangle is half the product of the base and the height.

Theory:

Triangle: A triangle is one of the basic shapes in geometry: a polygon with three corners or vertices and three sides or edges which are line segments.

Types of triangles:

Right angled triangle:

A right angled triangle has one of its interior angles measuring 90°. The side opposite to the right angle is the hypotenuse; it is the longest side of the triangle. For  a right angled triangle with sides a, b, c where c is the hypotenuse, a2 + b2 = c2.

 

Acute angled triangle:

A triangle that has all interior angles measuring less than 90° is an acute triangle or acute-angled triangle. For  an acute-angled triangle with sides a, b, c where  c is the greatest side,   a2 + b2 > c2.

 

Obtuse angled triangle:

A triangle that has one interior angle that measures more than 90° is an obtuse triangle or obtuse-angled triangle. For  an obtuse-angled triangle with sides a, b, c where  c is the greatest side, a2 + b2 < c2.

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