Introduction to base and height of triangle:

Calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is:

                                          Area = ½  bh

where b is the length of the base of the triangle, and h is the height or altitude of the triangle. The term 'base' denotes any side, and 'height' denotes the length of a perpendicular from the point opposite the side onto the side itself.

Source - Wikipedia

 

Finding base of triangle:

 

The diagrammatic representation showing base and height of triangle is shown below:

                     

Example problems:

1) Given the area of the triangle is 206 m2  and the height is 17 m. Find the base of the triangle.

 Solution:

                         Area A = 206 m2

                         Height h = 17m2

          Area of triangle A  =  ½  bh

                                      b   = 2A / h

                                           = 2(206) / 17

                                           = 412/17

                                       b  = 24.24 m

2) The area of the triangle is 312 m2  and the height is 19 m. Find the base of the triangle.

Solution:

                         Area A = 312 m2

                         Height h = 19 m2

          Area of triangle A  =  ½  bh

                                      b   = 2A / h

                                           = 2(312) / 19

                                           = 624/19

                                       b  = 32.8 m

3) Given the area of the triangle is 206 m2  and the height is 17 m. Find the base of the triangle.

Solution:

                         Area A = 206 m2

                         Height h = 17m2

          Area of triangle A  =  ½  bh

                                      b   = 2A / h

                                           = 2(206) / 17

                                           = 412/17

                                       b  = 24.24 m

 

Finding height of triangle:

 

Example problems:

1) The area of the triangle is 218 m2  and the base is 24 m. Find the height of the triangle.

Solution:

                         Area A = 218 m2

                         Base b = 24 m

          Area of triangle A  =  ½  bh

                                      h   = 2A / b

                                           = 2(218) / 24

                                           = 436/24

                                       h  = 18.17 m

2) Given the area of the triangle is 412 m2  and the base is 32 m. Find the height of the triangle.

Solution:

                         Area A = 412 m2

                         Base b = 32 m

          Area of triangle A  =  ½  bh

                                      h   = 2A / b

                                           = 2(412) / 32

                                           = 824/32

                                       h  = 25.75 m

 

 

Practice problems for base and height of triangle:

 

1) The area of the triangle is 204 m2  and the base is 24 m. Find the height of the triangle.

     Answer: 17 m

2) The area of the triangle is 42 m2  and the height is 7 m. Find the base of the triangle.

     Answer: 12 m