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If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is?
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If an advertisement board is in the form of isosceles triangle with si...
Understanding the Triangle Dimensions
The advertisement board is shaped like an isosceles triangle with two equal sides measuring 10 m and a base of 12 m.
- Two equal sides: 10 m each
- Base: 12 m
Calculating the Area of the Triangle
To find the area, we can use Heron's formula. First, we need to calculate the semi-perimeter (s):
- Semi-perimeter (s) = (a + b + c) / 2
- Here, a = 10 m, b = 10 m, c = 12 m
- s = (10 + 10 + 12) / 2 = 16 m
Now, using Heron's formula:
- Area = √[s * (s - a) * (s - b) * (s - c)]
- Area = √[16 * (16 - 10) * (16 - 10) * (16 - 12)]
- Area = √[16 * 6 * 6 * 4] = √(384) = 8√6 m² (approximately 19.6 m²)
Calculating the Cost of Painting
To determine the cost of painting the board:
- Cost per square meter = 2.25
- Total area = 19.6 m²
Total cost = Area * Cost per square meter
- Total cost = 19.6 m² * 2.25 = 44.1
Final Cost
The total cost of painting the advertisement board is approximately:
- 44.1 currency units.
This gives a clear understanding of the dimensions, area calculation, and overall cost involved in painting the advertisement board.
The advertisement board is shaped like an isosceles triangle with two equal sides measuring 10 m and a base of 12 m.
- Two equal sides: 10 m each
- Base: 12 m
Calculating the Area of the Triangle
To find the area, we can use Heron's formula. First, we need to calculate the semi-perimeter (s):
- Semi-perimeter (s) = (a + b + c) / 2
- Here, a = 10 m, b = 10 m, c = 12 m
- s = (10 + 10 + 12) / 2 = 16 m
Now, using Heron's formula:
- Area = √[s * (s - a) * (s - b) * (s - c)]
- Area = √[16 * (16 - 10) * (16 - 10) * (16 - 12)]
- Area = √[16 * 6 * 6 * 4] = √(384) = 8√6 m² (approximately 19.6 m²)
Calculating the Cost of Painting
To determine the cost of painting the board:
- Cost per square meter = 2.25
- Total area = 19.6 m²
Total cost = Area * Cost per square meter
- Total cost = 19.6 m² * 2.25 = 44.1
Final Cost
The total cost of painting the advertisement board is approximately:
- 44.1 currency units.
This gives a clear understanding of the dimensions, area calculation, and overall cost involved in painting the advertisement board.
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If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is?
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If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is?.
If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an advertisement board is in the form of isosceles triangle with sides 12m,10 m and 10 m cost of painting at 2.25/ m square is?.
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