TBQ - Find the equation of median and altitude — task. Maths TNSB Mentoring, Class 10 Crash course.

Find the equation of the median and altitude of \(\triangle ABC\) through \(A\), where the vertices are \(A(6,5)\), \(B(-7,-3)\) and \(C(1,11)\).

Answer:

Mid-point of \(BC\) \(=\) Vertex \(D\) \(=\)

(i, i)

The equation of the median of \(\triangle ABC\) is

x - i y - i = 0

Slope of \(BC\) \(=\) \(m_1 \ =\)

\frac{i}{i}

Slope of altitude \(AD\) \(=\) \(m_2 \ =\)

i \frac{i}{i}

The equation of the altitude of \(\triangle ABC\) is

i x + i y - i = 0

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8. TBQ - Find the equation of median and altitude