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The length of the largest altitude of tr...

The length of the largest altitude of triangle formed by the straight lines 7x-2y+10=0, 7x+2y-10=0 and 9x+ y+2=0 is

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Pairwise solving of the equation gives the vertices as A (0,5), B(-2,-2),C(2,-2), such that, `AB = sqrt53`=AC and BC = 4. As BC is smallest, so, the longest attitude is from A to BC, y+2=0.
`therefore I=(5+2)/(sqrt(0+1))=7` units
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