Question

Two side of triangle are 10 cm and 15 cm the perimeter of triangle is 40 cm what is the third side?

Answer 1

Step-by-step explanation:

ANSWER:-

Let us understand what is a Perimeter.

Perimeter of any figure:-

It is the sum of all the sides of a given figure.

Given that:-

• Two sides of a Triangle. Jotting down the sides:-

1. Side 1 - 10 cm
2. Side 2 - 15 cm
3. Side 3 - ?

Let's Do!

As said above, we can see that the Perimeter is also called the sum of all sides. We are already given the Perimeter, we can rewrite the equation as:-

$10 + 15 + x = 40$

Considering the third side as x.

So, further moving on,

$x = 40 - 25$

$\rm{x = 15 \: cm}$

So,the third side is 15 cm.

Now, verification:-

$15 + 15 + 10$

$= 40$

So, we got 40 again hence, the answer is verified. Hence Verified.

Answer 2

Answer:

Given :-

• Two side of a triangle are 10 cm and 15 cm and the perimeter of triangle is 40 cm.

To Find :-

• What is the third side.

Solution :-

Let, the third side be x

Given :

• First side = 10 cm
• Second side = 15 cm
• Perimeter of a triangle = 40 cm

${\red{\boxed{\small{\bold{According\: to\: the\: question\: :-}}}}}$

$\implies$ $\sf 10 + 15 + x =\: 40$

$\implies$ $\sf 25 + x =\: 40$

$\implies$ $\sf x =\: 40 - 25$

$\implies$ $\sf\bold{\purple{x =\: 15\: cm}}$

$\therefore$ The third side is 15 cm .

${\underline{\boxed{\large{\mathfrak{VERIFICATION :-}}}}}$

$\implies$ $\sf 10 + 15 + x =\: 40$

By putting x = 15 we get,

$\implies$ $\sf 10 + 15 + 15 =\: 40$

$\implies$ $\sf 25 + 15 =\: 40$

$\implies$ $\sf 40 =\: 40$

$\mapsto$ LHS = RHS

Hence, Verified ✔