Altitude Term In Math

Introduction about altitude term in math:

            Altitude or height term is defined based on the context in which it is used. As a general definition, the term altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. In this article we shall discus about altitude term based problems.




Triangle:


The total space inside the triangle is called as area of that triangle.

Formula to find Area:

            Area of right angle triangle (A) =1/2 (length x height) square unit

                                                               = 1/2 l x h square unit.

                        Here, the term height refers the altitude of the triangle.

Example problem:



A right angle triangle has length 5cm and altitude 13 cm. Find the area of that triangle.
Solution:

Given:

            Length (l) =5cm

            Altitude (h) =13cm

Formula:

Area of triangle = 1/2 (l x h) square unit.

                           = 1/2 (5 x 13)

                           = 1/2 (65)

                           =65/2

                           =32.5

Area of triangle = 32.5 cm2



A right angle triangle has length 7.5m and height 10 m. Find the area of that triangle.
Solution:

Given:

            Length (l) =7.5m

            Altitude (h) =10m

Formula:

Area of triangle = 1/2 (l x h) square unit.

                           = 1/2 (7.5 x 10)

                           = 1/2 (75)

                           =75/2

                           =37.5

Area of triangle = 37.5 cm2


Rhombus:


The altitude of rhombus is the distance between base and opposite side of the base.

Formulas:

Area of the rhombus (A) = b x a

                                    b – Base of rhombus.

                                    a – altitude of rhombus

If two diagonal lengths are given:

Area of the rhombus (A) = (d1 x d2)/2

Example problems:

1.      The altitude and base of rhombus are 11 cm and 6cm respectively. Find are of rhombus.

Solution:

      Given:

                  Altitude of rhombus (a) = 11 cm

                         Base of rhombus (b) = 6 cm

            Area of the rhombus (A) = b x a square units.

                                                      = 11 x 6

                                                      = 66

      Area of the rhombus (A) = 66 cm2

2.      The altitude and base of rhombus are 14 cm and 10cm respectively. Find are of rhombus.

Solution:

      Given:

                  Altitude of rhombus (a) = 14 cm

                         Base of rhombus (b) = 10 cm

            Area of the rhombus (A) = b x a square units.

                                                      = 14 x 10

                                                      = 140

      Area of the rhombus (A) = 140 cm2