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A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:
a)16 sq units
b)2 sq units
c)4 sq units
d)0 sq units
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A carpenter had to make a triangle with sides 5, 6, 5 units. By mistak...
area of actual triangle that he had to make
s = (5+5+6)/2
s= 8
a = √(8 x 3 x 3 x 2)
a1= 12 sq units
area of triangle that the carpenter made
s = (5+5+8)/2
s = 9
a = √(9 x 4 x 4 x 1)
a2 = 12 sq units
so difference a1 - a2 = 12 - 12 =0 sq units
Most Upvoted Answer
A carpenter had to make a triangle with sides 5, 6, 5 units. By mistak...
Difference in Areas of two triangles
To find the difference between the areas of the two triangles, we need to calculate the areas of both triangles and then subtract one from the other.
Triangle with sides 5, 6, 5 units
To calculate the area of a triangle, we can use Heron's formula. Heron's formula states that the area of a triangle with sides a, b, and c is given by:
Area = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, given by:
s = (a + b + c)/2
For the triangle with sides 5, 6, 5 units, we have:
s = (5 + 6 + 5)/2 = 8
Using Heron's formula, the area of this triangle is:
Area1 = √(8(8-5)(8-6)(8-5))
= √(8 * 3 * 2 * 3)
= √(144)
= 12 units
Triangle with sides 5, 8, 5 units
Similarly, for the triangle with sides 5, 8, 5 units, we have:
s = (5 + 8 + 5)/2 = 9
Using Heron's formula, the area of this triangle is:
Area2 = √(9(9-5)(9-8)(9-5))
= √(9 * 4 * 1 * 4)
= √(144)
= 12 units
Calculating the Difference
To find the difference between the areas of the two triangles, we subtract the smaller area from the larger area:
Difference = Area1 - Area2
= 12 - 12
= 0 units
Therefore, the difference between the areas of the two triangles is 0 square units. This means that the carpenter's mistake did not result in a change in the area of the triangle.
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A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer?
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A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? 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 A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer?.
A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? 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 A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer?.
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A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:a)16 sq unitsb)2 sq unitsc)4 sq unitsd)0 sq unitsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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