The document Theory - To Show that the Area of a Triangle is half the product of the Base and the Height, Math Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.

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**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, a^{2} + b^{2} = c^{2}.

**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, *a*^{2} + *b*^{2} > *c*^{2}.

**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, *a*^{2} + *b*^{2} < *c*^{2}.

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