Question

Two sides of a triangle are 5 cm and 4 cm. The perimeter of the triangle is 15cm. The third side has length​

Answer 1

Answer:

• Length of third side = 6cm

Step-by-step explanation:

Given:

• Two sides of a triangle = 5 cm and 4 cm.
• Perimeter of the triangle = 15cm.

To Find:

• Length of third side.

Solution:

• Let third side be x cm.

Perimeter of traingle = Sum of all sides

➞ 15 cm = 5 + 4 + x

➞ 15 = 9 + x

➞ 15 - 9 = x

➞ x = 6

Hence,

• Length of third side is 6 cm

Answer 2

Answer:

Hence, we get the length of the third side which is 6cm.

Step-by-step explanation:

As per the data provided in the given question.

The given data is as follows.

Two sides of a triangle are 5 cm and 4 cm and

the perimeter of the triangle is 15cm.

We have to find the length of the third side of the triangle.

Here we will be using the formula of the perimeter of the triangle.

We know that,

$Perimetre\;of\;the\;triangle= Sum\;of\;all\;sides\; of\;triangle$

Now we will substitute the value of Perimeter and two sides of the triangle in the above equation.

$15=5+4+x$

Where x is the third side.

We will add 5 and 4 we get

$15=9+x$

Shifting 9 to L.H.S and output sign will be negative we get,

$15-9=x$

Now we will subtract 9 from 15 we get,

$6=x$

$x=6$

Hence, we get the length of the third side which is 6cm.