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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

Take any poin...

Question

Take any point O in the interior of a triangle PQR. is
$O P + O Q > P Q ?$

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Solution

We know that, sum of two sides is greater than the third side.
In $△ O P Q$
Sum of any two sides is greater than the third side.
$∴ O P + O Q > P Q$
So, this is true.

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Take any point $O$ in the interior of a triangle $P Q R$ .

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$(i) O P + O Q > P Q$ ?

$(i i) O Q + O R > Q R$ ?

$(i i i) O R + O P > R P$ ?

Question 2 (i)
Take any point O in the interior of a triangle PQR:
Is OP + OQ > PQ?

Q. Take any point O in the interior of a triangle PQR:
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Take any point O in the interior of a triangle PQR.

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Relationship between Unequal Sides of Triangle and the Angles Opposite to It.

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