Question

3. The length of two sides of a triangle are 4 cm and 6 cm. Between what two measures
should the length of the third side fall?
I am not getting correct answer . the answer given in book is 3 to 9 cm . send me process.​

Answer 1

Answer:

3rd side = 7.21cm

Step-by-step explanation:

let the 3rd side be = x

use pythagorus theorem:-

(x)² = (4)² + (6)²

(x)² = 16 + 36

x = √52

x = 7.21cm

Answer 2

Solution :-

Given that, two sides of a triangle are 4 cm and 6 cm.

we know that :-

• sum of any two sides of a triangle is greater than third side.
• Difference of any two sides of a triangle is smaller than third side.

So, Lets Assume the length of third side be x cm.

Than,

→ sum of given two sides of given triangle is greater than third side :-

→ 4 + 6 > x

→ 10 > x .

Similarly,

→ Difference between given two sides of given triangle is smaller than third side :-

→ (6 - 4) < x

→ 2 < x.

From both , we can conclude that,

→ 2 < x < 10

Or,

→ value of x is greater than 2 and smaller than 10 .

or,

→ value of x = 3, 4, 5, 6 , 7 ,8 or 9 .

or,

→ value of x is from 3 to 9.

Hence, Length of third side of the given triangle will fall from 3 to 9.