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Maths CBSE Live product
Class 7
A Tale of Three Intersecting lines
Can This Triangle Exist?
3.
TBQ - Does the triangle exist?
Question:
2
m.
Will triangles always exist when a set of lengths satisfies the triangle inequality? How can we be sure?
Answer:
A triangle is formed only when
two circles touch each other
two circles intersect each other internally
two circles do not intersect each other
.
When the given lengths
do not satisfy
satisfy
the triangle inequality, the circles
intersect internally
do not intersect
, and a triangle
will definitely exist
do not exists
.
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