State True or False
There is a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm

True

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False

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Solution

The correct option is A True
Suppose such a triangle is possible Then the sum of the lengths of any two side would be greater than the length of the third side Let us check this
Is 4.5+5.8>10.2 Yes
Is 5.8+10.2>4.5 Yes
Is 10.2+4.5>5.8 Yes
Therefore the triangle is possible

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State True or FalseThere is a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm

The correct option is A TrueSuppose such a triangle is possible Then the sum of the lengths of any two side would be greater than the length of the third side Let us check thisIs 4.5+5.8>10.2 Yes Is 5.8+10.2>4.5 YesIs 10.2+4.5>5.8 YesTherefore the triangle is possible

State True or False
There is a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm

The correct option is A True
Suppose such a triangle is possible Then the sum of the lengths of any two side would be greater than the length of the third side Let us check this
Is 4.5+5.8>10.2 Yes
Is 5.8+10.2>4.5 Yes
Is 10.2+4.5>5.8 Yes
Therefore the triangle is possible