1)prove that an equilateral triangle can be constructed on any given line segment 2)prove that medians of an equilateral - Maths - Coordinate Geometry

Question

1)prove that an equilateral triangle can be constructed on any
given line segment
2)prove that medians of an equilateral triangle are equal
3)the points(other than the origin)for which the abcssica is
equal to the ordinate lie in quadrant___________

Ayush Jha · Accepted Answer

Due to paucity of time we are providing you the solution of one of
your questions Try solving other and if you face any difficulty
than do get back to us

Consider the circle drawn by taking A as centre and radius AB It is
clear that point C lies on it (as C is the point of the
intersection of two circles) Join AC Thus, AB and AC are the two
radii of the same circle Hence, they are equal

Now, consider the circle drawn by taking B as centre and radius AB
It is clear that point C lies on it as well Join BC Thus, BC and AC
are the two radii of the same circle Hence, an equilateral triangle
can be constructed on any straight line

1)prove that an equilateral triangle can be constructed on any given line segment. 2)prove that medians of an equilateral triangle are equal. 3)the points(other than the origin)for which the abcssica is equal to the ordinate lie in quadrant___________.

1)prove that an equilateral triangle can be constructed on any given line segment.

2)prove that medians of an equilateral triangle are equal.

3)the points(other than the origin)for which the abcssica is equal to the ordinate lie in quadrant___________.