XY triangle

Determine area of triangle given by line 7x+8y-69=0 and coordinate axes x and y.

Result

S =  42.51

Solution:

x=0: +8y−69=0 a=∣y∣=∣69/8∣=8.63  y=0: 7x−69=0 b=∣x∣=∣69/7∣=9.86  S=ab2=42.51x=0: \ \\ +8y -69 = 0 \ \\ a = |y| = |69/8| = 8.63 \ \\ \ \\ y=0: \ \\ 7x -69 = 0 \ \\ b = |x| = |69/7| = 9.86 \ \\ \ \\ S = \dfrac{ab}{2} = 42.51

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Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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