FINDING THE AREA OF A TRIANGLE

The area A of a triangle is half the product of the length of its base b and its height h.

Area of a triangle = (1/2) x b x h

where b and h are the base and height of the triangle respectively.

Practice Problems

Problem 1 :

Find the area of the triangle shown below.

Solution :

Area of the triangle  = (1/2) x b x h

Substitute 20 for b and 8 for h. 

=  (1/2) x 20 x 8

=  10 x 8

=  80 square meter

Problem 2 :

Find the area of the triangle given below.

Area of the triangle  = (1/2) x b x h

Substitute 8.5 for b and 14 for h. 

=  (1/2) x 8.5 x 14

=  8.5 x 7

=  59.5 square inches

Problem 3 :

What is the area of a triangle that has a base of 15 ¼ inches and a height of 18 in. ?

Solution :

base of the triangle = 15 ¼ inches

height of the triangle = 18 inches

Area of the triangle is 

= (1/2) x b x h 

=  (1/2) x 15 ¼ x 18

=  (61/4) x 9

=  137.25 square inches

Problem 4 :

A triangular plot of land has the dimensions shown in the diagram. What is the area of the land ?

Solution :

base of the triangle = 30 km 

height of the triangle = 20 km 

Area of the triangle = (1/2) x 30 x 20 

  =  15 x 20

= 300 km²

Problem 5 :

A triangular plot of land has the dimensions shown in the diagram. What is the area of the land ?

Solution :

base of the triangular land = 32 ft 

height of the triangular land = 18 ft 

Area of the land is 

=  (1/2) x 32 x 18 

  =  16 x 18

=  288 square ft

Example 6 :

A right triangle has legs that are 11 in. and 13 in. long. What is the area of the triangle ?

Solution :

base = 11 inches and height = 13 inches 

Area of the the right triangle is

=  (1/2) x 11 x 13 

  =  143/2

=  71.5 square inches

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