find the coordinates of the triangle formed by two straight lines and x axis. also find the area of the triangle. 4x-5y+16=0,2x+y-6=0
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Step-by-step explanation:
4x - 5*0 + 16 = 0 ===> x = - 4 ===> A(- 4, 0)
2x + 0 - 6 = 0 ===> x = 3 ===> B(3, 0)
4x - 5(- 2x + 6) + 16 = 0
4x + 10x - 30 + 16 = 0
14x = 14 ===> x = 1
2*1 + y - 6 = 0 ===> y = 4
C(1, 4)
AB = | - 4 - 3 | = 7 units
h = 4 units
Area of triangle is (7*4) / 2 = 14 units²
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