Question

determine the integer values that the length of the third side of a triangle can have if other two sides have length 3cm and 7cm​

Answer 1

Answer:

( 5 cm ,6 cm,7 cm,8 cm,9 cm)

Step-by-step explanation:

According to the information provided in the question it is given as

determine the integer values that the length of the third side of a triangle can have if other two sides have length 3cm and 7cm​

Length of side of triangle

a= 3 cm

b= 7 cm

we need to find the integer values that the length of the third side of a triangle

we need to find c=?

In a triangle, the length of the 3rd side must be greater than the total length of other two sides.

Let us assume third side is  x cm,

3+7 =10 cm is greater than it.

Hence   we got x < 10 cm

Now, x+3 > 7( according to the above mentioned law)

So,

x > (7–3)

or, x > 4

The difference between 3 cm and 7 cm is 4 cm and the sum is 10 cm

To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 4 cm and less than 10 cm and the value should be ( 5 cm ,6 cm,7 cm,8 cm,9 cm)

Hence the conclusion is the value of x lies between 4 cm and 10 cm.

Is ( 5 cm ,6 cm,7 cm,8 cm,9 cm).

Answer 2

$\bold{ANSWER≈}$

(5 cm ,6 cm,7 cm,8 cm,9 cm)

Step-by-step explanation: According to the information provided in the question it is given as

determine the integer values that the length of the third side of a triangle can have if other two sides have length 3cm and 7cm

Length of side of triangle

a= 3 cm

b= 7 cm

we need to find the integer values that

the length of the third side of a triangle we need to find c=? In a triangle, the length of the 3rd side

must be greater than the total length of

other two sides.

Let us assume third side is x cm,

3+7=10 cm is greater than it.

Hence we got x < 10 cm

Now, x+3> 7( according to the above mentioned law)

So,

x> (7-3)

or, x > 4

The difference between 3 cm and 7 cm is 4 cm and the sum is 10 cm

To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 4 cm and less than 10 cm and the value should be (5 cm ,6 cm,7 cm,8 cm,9 cm)

Hence the conclusion is the value of x lies between 4 cm and 10 cm.

Is (5 cm ,6 cm,7 cm,8 cm,9 cm).