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
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
