Find the area of triangle enclosed by lines 5x-6y=60 with X-axis and Y-axis
Answers
Answer:
3 square. units
Step-by-step explanation:
How do I find the area of the triangle formed by the coordinate axes and the line 3x + 2y = 6?
Answer
3
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5 Answers

Ved Prakash Sharma, former Lecturer at Sbm Inter College, Rishikesh (1971-2007)
Answered December 29, 2017
Eq. of line is 3x + 2y = 6………..(1)
Eq. of x axis is y=0……….(2)
Eq. of y axis is x=0…………(3)
Let point of intersection of eq.(1)and (2) is A, put y=0 in eq.(1)
3x+2×0=6 => x=2, A( 2 , 0)
Point of intersection of eq.(2) &(3) is O(0 , 0 )
Point of intersection of eq.(1) & (3) is B , put x=0 in eq. (1)
3×0+2y=6 => y=3 , B(0 ,3 )
Area of triangle AOB=1/2[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)].
=1/2[2(0–3)+0(3–0)+0(0–0)]sq.unit
=1/2(-6)sq.unit
=-3 sq.unit
=3 sq.unit.Answer.