Question

Find the locus of vertices of triangle having fixed base and constant area

Answer 1

Answer:

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Answer 2

To find :  locus of vertices of triangle

Explanation:

consider a triangle with a fixed base and constant area

then

area of the triangle ABC

= $\frac{1}{2}\times base \times height \\\\ \frac{1}{2}\times AB \times height$

as AB  id fixed

so for the constant area height should remain same , which is only if C moves on a line parallel to AB

hence , locus of vertices of triangle having fixed base and constant area is when line parallel to the base

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