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1) Is it possible to have triangles with the following sides?
(i) 4cm ,6cm ,7cm
(ii)2cm , 1cm , 7cm
(iii)6cm , 3cm , 2cm
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2) Take point O in the interior of the triangle PQ. Is
(i) OP + OQ > PQ?
​(ii) OQ + OR > QR?
(iii) OR + OP > RP?
 

Dear Student,

As we know that the triangle can be formed if,the sum of two sides is greater than the third side;(i) 4+6 =10>76+7=13>44+7=11>6so, it is possible to form a triangle with these sides(ii) 2+1=3<7←1+7=8>22+7=9>1so, it is not possible to form a triangle with these sides(iii) 6+3=9>23+2=5<6←6+2=8>3so, it is not possible to form a triangle with these sides

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1) only case(i) is possible
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1) it is possible to make a triangle with sides as 4cm, 6cm, 7cm as its sides, but not 2, 1, 7 cm & 6, 3, 2 cm.
​2) all the three are correct.
 
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Thank you so much Karthikeya Reddy and Vaishali.
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