Step 1:

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Triangle $\"\"$ has coordinate points $\"\"$ and $\"\"$ .

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Conside the coordinate points $\"\"$ .

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Formula for $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the slope formula.

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$\"\"$

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Triangle $\"\"$ slope of the line joining the point $\"\"$ is $\"\"$ .

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General form of line equation is $\"\"$ .

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Substitute $\"\"$ in the general form.

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$\"\"$

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The line passing throught the $\"\"$ is $\"\"$ .

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Step 2:

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Slope of $\"\"$ is $\"\"$ .

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$\"\"$ is the mid point of $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the mid point formula.

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$\"\"$

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Point $\"\"$ is $\"\"$ .

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Find slope of the $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the slope formula.

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$\"\"$

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Since line joining the point $\"\"$ is perpendicular to $\"\"$ .

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Solution :

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(a) The line passing throught the $\"\"$ is $\"\"$ .

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(b) $\"\"$ is perpendicular to $\"\"$ .