What is the area of the triangle formed by the y-axis and the lines x + y = 8 and x - y = 2

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The area of the triangle formed by the y-axis and the lines x + y = 8 and x - y = 2 has to be determined.

The area of a triangle with base b and height h is A = (1/2)*b*h. The lines indicated in the question that form the triangle have been graphed above. In the resulting triangle the base is 8 + 2 = 10 and the height is 5. The area of the resulting triangle is (1/2)*10*5 = 25.

The area of the triangle formed by the y-axis and the lines x + y = 8 and x - y = 2 is 25 square units.

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