The length of two sides of a triangle are $7 c m$ and $9 c m$ . The length of the third side may lie between

a) $1 c m$ and $10 c m$
b) $2 c m$ and $8 c m$
c) $2 c m$ and $16 c m$
d) $1 c m$ and $16 c m$

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Solution

Option (c).
The third side must be greater than the difference between the two sides and less than the sum of the two sides.
Sum of two sides $= 7 + 9 = 16 c m$
Difference of two sides $= 9 - 7 = 2 c m$
So, the length of the third side must lie between $2 c m$ and $16 c m$ .

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The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between a) 1 cm and 10 cm b) 2 cm and 8 cm c) 2 cm and 16 cm d) 1 cm and 16 cm

Option (c).The third side must be greater than the difference between the two sides and less than the sum of the two sides. Sum of two sides =7+9=16 cm Difference of two sides =9−7=2 cm So, the length of the third side must lie between 2 cm and 16 cm.

The length of two sides of a triangle are $7 c m$ and $9 c m$ . The length of the third side may lie between

a) $1 c m$ and $10 c m$
b) $2 c m$ and $8 c m$
c) $2 c m$ and $16 c m$
d) $1 c m$ and $16 c m$

Option (c).
The third side must be greater than the difference between the two sides and less than the sum of the two sides.
Sum of two sides $= 7 + 9 = 16 c m$
Difference of two sides $= 9 - 7 = 2 c m$
So, the length of the third side must lie between $2 c m$ and $16 c m$ .