If two sides of a triangle are 8 cm and 13 cm, then the length of the third side is between a cm and b cm. Find the values of a and b such that a is less than b.

a = 2 cm and b =9 cm

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a = 7 cm and b = 12 cm

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a = 5 cm and b = 21 cm

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a = 8 cm and b = 24 cm

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Solution

The correct option is B a = 5 cm and b = 21 cm
$I f t w o s i d e s o f a t r i a n g l e a r e 8 c m a n d 13 c m .$
$T h e n t h e l e n g t h o f t h i r d s i d e i s$
$m o r e t h a n 13 - 8 = 5 c m$
$a n d l e s s t h a n 13 + 8 = 21 c m$
$a = 5 c m, b = 21 c m$

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If two sides of a triangle are 8 cm and 6 cm and its perimeter is 26 cm. Find the third side of the triangle.

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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