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 180^{0}. Generally the triangles are classified by its sides and internal angles
According to sides:
According to angles:
In this article we shall see how to prepare for find the height of the 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.
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`
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=80cm^{2}
The following problems area used to preare the height of the triangle.
2.The area of the triangle is 60 cm^{2} and base is 6 cm find the height of the triangle.
Solution:
Given:
Area of triangle = 60 cm^{2}
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 cm^{2} and base is 15 cm find the height of the triangle.
Solution:
Given:
Area of triangle = 90 cm^{2}
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 cm^{2} and base is 10 cm find the height of the triangle.
Solution:
Given:
Area of triangle = 120 cm^{2}
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 cm^{2} and base is 8 cm find the height of the triangle.
Solution:
Given:
Area of triangle = 88 cm^{2}
Base = 8 cm
Formula:
Height of the triangle (h) = 2Ab units
= 2?888
= 1768
= 22
Height of the triangle (h) = 22 cm