study about triangles area

In mathematics, triangle is one of the important topics in geometry.  A geometrical figure which is formed by connecting three points by straight line segment is defined as a triangle. The three sides of a triangle are called as a three-sided polygon. Its can be identified by their sides, by their angles or by the combination of both sides and angles. Here we study about the triangles area.


Study about triangles area – formula:


Triangle area formula:

              If the base and the height of the triangle are given, then the formula to find the area of the triangle is

                                    Area of triangle is A = `(bh)/2` (or) `1/2` bh square. Units

                                          b denotes the base of triangle.

                                          h denotes the height of triangle



In a triangle, base and height can be perpendicular to each other.


Study about triangles area – Example problems:


Here we study some example problems about the triangles area

Example 1:

Determine the area of the triangle whose base side is 4cm and the height of the triangle is 8cm.



Solution:

             Given

              Base side of triangle is 4cm

              Height of the triangle is 8cm

       Triangle area Formula:

                Area of the triangle is 1/2bh square. Units

                                              A = `1/2` bh

                                                = `1/ 2` (4*8)

                                                = `32/2`

                                                = 16

                Area of the triangle = 16 cm2

Answer:

                Area of triangle is 16 cm2

Example 2:

Determine the area of the triangle whose base side is 8m and the height of the triangle is 12cm.



Solution:

             Given

              Base side of triangle is 8m

              Height of the triangle is 12m

       Triangle area Formula:

                Area of the triangle is 1/2bh square. Units

                                              A = `1/2` bh

                                                = `1/ 2` (8*12)

                                                = `96/2`

                                                = 48

                Area of the triangle = 48 m2

Answer:

                Area of triangle is 48 m2

Example 3:

Determine the area of the triangle whose base side is 13cm and the height of the triangle is 17cm.



Solution:

             Given

              Base side of triangle is 13cm

              Height of the triangle is 17cm

       Triangle area Formula:

                Area of the triangle is `1/2` bh square. Units

                                              A = `1/2` bh 

                                                = `1/ 2` (13*17)

                                                = `221/2`

                                                = 110.5

                Area of the triangle = 110.5 cm2

Answer:

                Area of triangle is 110.5 cm2