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Sum of the Lengths of 2 Sides of a Triangle

ii Take any p...

Question

Question 2 (ii)
Take any point O in the interior of a triangle PQR:
Is OQ + OR > QR?

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Solution

Join OR, OQ and OP.
RQO forms a triangle.Since in a triangle sum of the lengths of any two sides would be greater than the length of the third side => OQ + OR > QR.

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Similar questions

Q. Take any point O in the interior of a triangle PQR:
Is OP + OQ > PQ?
Is OP + OR > PR?
Is OQ+ OR > QR?

Question 2 (iii)
Take any point O in the interior of a triangle PQR :
Is OR + OP > RP?

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

O Q + O R > Q R ?

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

Is

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

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

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

Q. Write down the total number of True statement:

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

Is
(i) OP + OQ > PQ?
(ii) OQ + OR > QR?
(iii) OR + OP > RP?

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Sum of the Lengths of 2 Sides of a Triangle

Standard VII Mathematics

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