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
Problem 1 :
Solution :
Given, base = 6 km
Height = 6 km
Area of triangle = 1/2 × b × h
= 1/2 × 6 × 6
= 18 km²
So, the area of triangle is 18 km².
Problem 2 :
Solution :
Given, base = 9 cm
Height = 2 cm
Area of triangle = 1/2 × b × h
= 1/2 × 9 × 2
= 9 cm²
So, the area of triangle is 9 cm².
Problem 3 :
Solution :
Given, base = 12 cm
Height = 3 cm
Area of triangle = 1/2 × b × h
= 1/2 × 12 × 3
= 18 cm²
So, the area of triangle is 18 cm².
Problem 4 :
Solution :
Given, base = 15 m
Height = 12 m
Area of triangle = 1/2 × b × h
= 1/2 × 15 × 12
= 90 m²
So, the area of triangle is 90 m².
Problem 5 :
Solution :
Given, base = 10.7 km
Height = 3.4 km
Area of triangle = 1/2 × b × h
= 1/2 × 10.7 × 3.4
= 18.19 km²
So, the area of triangle is 18.19 km².
Problem 6 :
Solution :
Given, base = 24 ½ ft = 49/2 ft
Height = 8 ft
Area of triangle = 1/2 × b × h
= 1/2 × 49/2 × 8
= 98 ft²
So, the area of triangle is 98 ft².
Problem 7 :
Base: 4 in
Area: 22 in²
Solution:
Area of triangle = 1/2 × b × h
22 = 1/2 × 4 × h
22 = 2h
h = 11 in
So, the height of triangle is 11 in.
Problem 8 :
Height: 1 yd
Area = 2.5 yd²
Solution :
Area of triangle = 1/2 × b × h
2.5 = 1/2 × b × 1
2.5 = b/2
b = 5 yd
So, the base of triangle is 5 yd.
Problem 9 :
Base: 5 ft
Area: 5 5/6 ft² = 35/6 ft²
Solution :
Area of triangle = 1/2 × b × h
35/6 = 1/2 × 5 × h
35/6 = 5/2 × h
h = (35/6) × (2/5)
h = 7/3 ft
So, the height of triangle is 7/3 ft.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM