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Examples of Area of Triangle

We saw earlier the proof and derivation for the area of a triangle (right, acute, obtuse angled triangles). We’ll now look at some examples of area of triangle calculations.

Example 1:

Area of triangle = {1/2}bh      triangle with area=9 sq cm
 = {1/2}~*~6~*~3
 = 9 cm2

 

Example 2:

Area of triangle = {1/2}bh    triangle with area=27 sq cm

 = {1/2}~*~9~*~6

 = 27 cm2

 

Example 3:

Area of triangle = {1/2}bh    triangle with area=21 sq mm

 = {1/2}~*~7~*~6

 = 21 mm2

 

Example 4:

Area of shape = area of rectangle A1 + area of triangle A2    shape with area=68 sq cm

A1 = l x b

  = 8 x 5

  = 40 cm2

A2  = {1/2}bh

  = {1/2}~*~8~*~7 (height of triangle = 12 – 5 = 7 cm)

  = 28 cm2

So area of shape =  A1 + A2

  =  40 + 28

  =  68 cm2

 

Example 5:

Area of shape = area of rectangle A1 – area of triangle A2shape with area=62 sq mm

A1 = l x b

  = 11 x 7

  = 77 mm2

A2  = {1/2}bh

  = {1/2}~*~6~*~5

  = 15 mm2

So area of shape =  A1 – A2

  =  77 – 15

  =  62 cm2