HOW TO FIND THE AREA OF A TRIANGLE

Find the area of each triangle :

Problem 1 :

Solution :

By observing the figure,

Base (b) = 5 cm and Height (h) = 8 cm

Area of a triangle A = 1/2 (b × h)

= 1/2 (5 × 8)

Area = 20 cm²

Problem 2 :

Solution :

By observing the figure,

Base (b) = 10 in and Height (h) = 5 in

Area of a triangle A = 1/2 (b × h)

= 1/2 (10 × 5)

= 25 in².

Problem 3 :

Solution :

By observing the figure,

Base (b) = 25 yd and Height (h) = 4 yd

Area of a triangle A = 1/2 (b × h)

= 1/2 (25 × 4)

= 50 yd²

Problem 4 :

Solution :

By observing the figure,

Base (b) = 3.5 ft and Height (h) = 4 ft

Area of a triangle A = 1/2 (b × h)

= 1/2 (3.5 × 4)

= 7 ft²

Problem 5 :

The front part of a tent is 8 feet long and 5 feet tall. what is the area of the front part of the tent ?

Solution :

Given,

The front part of a tent = 8 feet long

The front part of a tent  = 5 feet tall

Area A = 1/2 (b × h)

Here base (b) = 8 feet and Height (h) = 5 feet

= 1/2 (8 × 5)

= 20 cm²

So, the area of the front part of the tent is 20 cm².

Problem 6 :

Kathy is playing a board game. The game pieces are each in the shape of a triangle. Each triangle has a base of 1.5 inches and a height of 2 inches. What is the area of a game piece? 

Solution :

Given, 

Base of a game piece (b) = 1.5 inches

Height of a game piece (h) = 2 inches

To find the area of a game piece,

Area of a triangle A = 1/2 (b × h)

= 1/2 (1.5 × 2)

Area = 1.5 in².

So, the area of a game piece = 1.5 in². 

Problem 7 :

A triangular – shaped window has a base of 3 feet and a height of 4 feet. What is the area of the window ?

Solution :

Given,

Base of the window (b) = 3 feet

Height of the window (h) = 4 feet

To find the area of the window,

Area of a triangle A = 1/2 (b × h)

= 1/2 (3 × 4)

Area = 6 ft²

So, the area of the window = 6 ft².

Problem 8 :

Landon has a triangular piece of paper. The base of the paper is 6  1/2 inches. The height of the paper is 8 inches. What is the area of the piece of paper ?

Solution :

Given,

Base of the paper (b) = 6  1/2 inches

Height of the paper (h) = 8 inches.

To find the area of the piece of paper,

Area of a triangle A = 1/2 (b × h)

= 1/2 ((6/2) × 8)

= 1/2  (3 × 8)

= 1/2 (24)

= 12 in²

So, the area of the piece of paper = 12 in².