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The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), is
- a)27 sq. units
- b)21 sq. units
- c)20.5 sq. units
- d)10.5 sq. units
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)2...
Given, the vertices of the triangle are (2,3),(-1,0) and (2,-4).
Formula used:
The area of the triangle whose vertices are (x1,y1),(x2,y2) and (x3,y3) is given by the formula:
Area = [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]/2
Calculation:
Substituting the given values in the formula, we get:
Area = [2(0 + 4) + (-1)(3 + 4) + 2(3 - 0)]/2
Area = [8 - 7 + 6]/2
Area = 7/2
Area = 3.5 sq. units
Therefore, the correct option is (d) 10.5 sq. units.
Error in the question:
The correct answer should be 3.5 sq. units instead of 10.5 sq. units. The given options are incorrect.
Formula used:
The area of the triangle whose vertices are (x1,y1),(x2,y2) and (x3,y3) is given by the formula:
Area = [x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]/2
Calculation:
Substituting the given values in the formula, we get:
Area = [2(0 + 4) + (-1)(3 + 4) + 2(3 - 0)]/2
Area = [8 - 7 + 6]/2
Area = 7/2
Area = 3.5 sq. units
Therefore, the correct option is (d) 10.5 sq. units.
Error in the question:
The correct answer should be 3.5 sq. units instead of 10.5 sq. units. The given options are incorrect.
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The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)2...
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The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)27 sq. unitsb)21 sq. unitsc)20.5 sq. unitsd)10.5 sq. unitsCorrect answer is option 'D'. Can you explain this answer?
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The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)27 sq. unitsb)21 sq. unitsc)20.5 sq. unitsd)10.5 sq. unitsCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)27 sq. unitsb)21 sq. unitsc)20.5 sq. unitsd)10.5 sq. unitsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of triangle whose vertices are (2,3),(-1,0) and (2,-4), isa)27 sq. unitsb)21 sq. unitsc)20.5 sq. unitsd)10.5 sq. unitsCorrect answer is option 'D'. Can you explain this answer?.
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