In the above figure, ABC is a triangle.
The formula to find the area of any triangle is
Area of a triangle = 1/2 × base × height
In figure, AB = base and CD = height
Area = 1/2 × AB × CD
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 cm^{2}
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 in^{2}.
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 yd^{2}
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 ft^{2}
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 cm^{2}
So, the area of the front part of the tent is 20 cm^{2}.
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 in^{2}.
So, the area of a game piece = 1.5 in^{2}.
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 ft^{2}
So, the area of the window = 6 ft^{2}.
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 in^{2}
So, the area of the piece of paper = 12 in^{2}.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM