Question

why is well condition triangles
necessary to use well condition triangles?​

Answer 1

${\tt{\green{\underline{\underline{\huge{Answer :-}}}}}}$

• Let us take an example of a 90 degree angle made by sides ab and cb.If for some reason ab is measured little less than actual length then for equal length of cb,we draw with compass needle at c intersecting ab such that ab comes to lie nearly in its original direction without much deviation but with some error in length.

• Again if we take a 30 degree angle instead then for same case above to maintain the length cb, the compass has to intersect ab which will cause more deviation relatively plus error in length resulting greater displacement of point b than in case of 90 degree angled figure or triangle.

• Now the deviation of ab would shift right or left to the original alignment depends upon the error in length ab is either positive or negative i.e. measured length of ab is greater or less than its actual length.

• The triangles with angle(A) in the range 30<A<120 is called as WELL-CONDITIONED TRIANGLES. ... The well-conditioned triangle has perfect apex points that are sharp and are located by single 'dot'. This will bring no possibility of relative displacement of the plotted point.

Answer 2

$\large\bf{\underline\orange{Answer \:↝}}$

Condition necessary to use well condition triangle :-

• A well conditioned triangle mainly consists of nearly equilateral triangle,saying more precisely angles should lie between 30 and 120 degrees.
• Now this provision removes the ambiguity of locating the vertex of triangle while plotting the area. In other words the point to locate the corner made by two lines becomes much clear.

• Above case is simple to understand.However in terms of displacement error the following explanation might be helpful if you can visualise it.

• Let us take an example of a 90 degree angle made by sides ab and cb.If for some reason ab is measured little less than actual length then for equal length of cb,we draw with compass needle at c intersecting ab such that ab comes to lie nearly in its original direction without much deviation but with some error in length.

• Again if we take a 30 degree angle instead then for same case above to maintain the length cb, the compass has to intersect ab which will cause more deviation relatively plus error in length resulting greater displacement of point b than in case of 90 degree angled figure or triangle.

• Now the deviation of ab would shift right or left to the original alignment depends upon the error in length ab is either positive or negative i.e. measured length of ab is greater or less than its actual length.