Height of a Triangle

Triangle is one type of geometry shape. It is a two dimensional figure. There are three sides and three vertices in triangle. It has three internal angles. The sum of those internal angles is 1800. Generally the triangles are classified by its sides and internal angles

According to  sides:

  • Equilateral triangle
  • Isosceles triangle
  • Scalene triangle

According to angles:

  • Right triangle
  • Obtuse triangle
  • Acute triangle

In this article we shall see how to prepare  for find the height of the triangle.

 

How to find the height of a triangle

 

* The height of a triangle can be calculated by the its type and the information that is known.

    * Right triangles, consist of single angle of 90 degrees, can easily calculated by area formula.

    *Equilateral triangle are of equivalent length, and isosceles triangles, where three sides are of equivalent in length, can be cut in half, creating two right triangles.

    * Slanted triangles, are more complicated, and to find their height need trigonometry

    * This object shows three different methods. Examples follow each step above.
    * The area of triangle  A= [(1)/(2)] *BASE * HEIGHT , By plugging values we can find the height of the triangle.

  

Formula

 

 Find the height of triangle:

Area of the triangle = `1/2(base*height)`  square units    

 

      Area of the triangle = `1/2*(b*h)`  square units

 

            Height of the triangle (h) =

                                                         = `(2* (Area)) / (base)` = `(2*A) / b`

 

Finding height of a triangle

 

Students can learn from the following solved examples the steps involved in finding height of a triangle and solve problems similarly. 

1) Triangle base is 16cm and height is 10cm to calculate the area of triangle.

Solution:

`A=1/2 *(Base*height)` 

Base = 16cm and Height = 10cm

Therefore Area of triangle = `1/2*16*10`

                                     =`1/2*160`

                                     =`80`  

Area of triangle=80cm2

The following problems area used to preare the height of the triangle.

 

 

2.The area of the triangle is 60 cm2 and base is 6 cm find the height of the triangle.

Solution:

      Given:

                  Area of triangle = 60 cm2

                  Base = 6 cm

      Formula:

                        Height of the triangle (h) = units

                                                                   = 2?606

                                                                   = 1206

                                                                   = 20

                        Height of the triangle (h) = 20 cm

 3.The area of the triangle is 90 cm2 and base is 15 cm find the height of the triangle.

Solution:

      Given:

                  Area of triangle = 90 cm2

                  Base = 15 cm

      Formula:

                        Height of the triangle (h) =2Ab units

                                                                     = 2?9015

                                                                     = 18015

                                                                     = 12

                       Height of the triangle (h) = 12 cm

4.The area of the triangle is 120 cm2 and base is 10 cm find the height of the triangle.

Solution:

      Given:

                  Area of triangle = 120 cm2

                  Base = 10 cm

      Formula:

                        Height of the triangle (h)  = 2Ab units

                                                                      = 2?12010

                                                                      = 24010

                                                                      = 24

                        Height of the triangle (h) = 24 cm

5.The area of the triangle is 88 cm2 and base is 8 cm find the height of the triangle.

Solution:

      Given:

                  Area of triangle = 88 cm2

                  Base = 8 cm

      Formula:

                        Height of the triangle (h) = 2Ab units

                                                                      = 2?888

                                                                      = 1768

                                                                      = 22

                        Height of the triangle (h) = 22 cm