Question

3. The length of two sides of a triangle are 4 cm and 6 cm. Between what two meno
should the length of the third side fall?​

Answer 1

$\sf{Given:}$

•  length of two sides of a triangle are 4cm and 6cm

$\sf{To\; Find :}$

• between what two measure should the length of the third side fall

$\sf{Solution:}$

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Sum of any two sides > third sides

two sides are 4 cm & 6 cm

let say third side is  a cm

a + 4  > 6

a + 6 > 4   ( this is always true as 6 > 4)

4 + 6 > a  

a + 4  > 6  

=> a > 2

4 + 6 > a  

=> 10 > a

2  < a  < 10

if sides are integral values only

then  3 , 4 , 5 , 6 , 7 , 8 , 9

otherwise ( 2 , 10 )     from 2 to 10 ( excluding both )

between 2 & 10 cm - measure of third side will fall.

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Answer 2

$\sf{Given:}$

• length of two sides of a triangle are 4cm and 6cm

$\sf{To\; Find :}$

• between what two measure should the length of the third side fall

$\sf{Solution:}$

____________________________________

Sum of any two sides > third sides

two sides are 4 cm & 6 cm

let say third side is a cm

a + 4 > 6

a + 6 > 4 ( this is always true as 6 > 4)

4 + 6 > a

a + 4 > 6

=> a > 2

4 + 6 > a

=> 10 > a

2 < a < 10

if sides are integral values only

then 3 , 4 , 5 , 6 , 7 , 8 , 9

otherwise ( 2 , 10 ) from 2 to 10 ( excluding both )

between 2 & 10 cm - measure of third side will fall.

____________________________________

$\huge{\underline{\mathfrak{❥Sachuuu❣}}}$