XY triangle

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

Correct result:

S =  42.51

Solution:

$$\begin{gathered} x=0: \\ +8y-69=0 \\ a=\mathrm{\mid }y\mathrm{\mid }=\mathrm{\mid }69\mathrm{/}8\mathrm{\mid }=8.63 \\ y=0: \\ 7x-69=0 \\ b=\mathrm{\mid }x\mathrm{\mid }=\mathrm{\mid }69\mathrm{/}7\mathrm{\mid }=9.86 \\ S={\displaystyle \frac{ab}{2}}=42.51 \end{gathered}$$

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