 ## Area of triangle

Total surface covered by a triangle is called the area of triangle. To find the area of a triangle we can do the following activities:
i.              Take a paper in triangle shape of base (b) and height (h) as shown in the figure.
ii.            Cut horizontally through middle of the perpendicular as shown in figure.
iii.           Cut upper part into two small triangles through perpendicular as shown in the figure.
iv.           Arrange  the small triangles in one place to form a rectangle ABCD as shown in the figure.
v.             The rectangle ABCD so formed will have the length equal to b and breadth equal to h/2 as shown in the figure.
Area of Δ = Area of rectangle ABCD
= BC × CD
= b × h/2
= ½ × b × h
Area of Δ = ½ × b × h

### Area of a right angled triangle

When the triangle is a right angled triangle then height (h) = perpendicular (p), therefore the area of triangle = ½ × base × perpendicular
i.e           area of Δ = ½ × b × p

### Area of an equilateral triangle

In the given figure, ΔABC is an equilateral triangle and AMBC.

### Area of an isosceles triangle

In isosceles ΔABC, AB = AC = a and base BC = b

### Area of scalene triangle

If a, b and c are three sides of a scalene triangle then

### Workout Examples

Example 1: Find area of the triangle given below:

Solution:
From the figure,
Base (b) = 12 cm
Height(h) = 6 cm
we know,
Area of triangle = ½ × b × h
= ½ × 12cm × 6 cm
= 36 cm2

Example 2: Find area of the triangle given below:

Solution:
Given figure is an equilateral triangle where
a = 6 cm
we know,

Example 3: Find the area of the triangle given below:

Solution:
Given figure is an isosceles triangle where
Base(b) = 8 cm
Two equal sides (a) = 5 cm
we know,

Example 4: Find the area of the triangle ABC given below.

Solution:
In triangle ABC,
a=10cm, b=8cm and c=6cm