Question

Two sides of a triangle are 12 cm and 14 cm , The perimeter of a triangle is 36 cm.
Find the length of its third side.
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Answer 1

Step-by-step explanation:

perimeter of ∆ = 36

a+b+c = 36

12+14+c = 36

c = 10 cm

Answer 2

Answer :-.

• The length of the third side is 10 cm.

Given :-

• Two sides of a triangle are 12 cm and 14 cm.
• The perimeter of the triangle is 36 cm.

To find :-

• The length of it's third side.

Step-by-step explanation :-

• In this question, it has been given that two sides of a triangle are 12 cm and 14 cm. It has also been given that the perimeter of the triangle is 36 cm. We have to find the length of it's third side.

Calculations :-

We know that :-

$\underline{\fbox{\sf Perimeter of a triangle = Sum of all sides.}}$

• So, the sum of all the sides must be equal to 36 cm.

• Now, let the third side of the triangle be x.

$\sf\implies x + 12 + 14 = 36$

Adding 12 and 14,

$\sf\implies x + 26 = 36$

Transposing 26 from LHS to RHS, changing it's sign,

$\sf\implies x = 36 - 26$

Subtracting 26 from 36,

$\sf\implies x = 10.$

• The value of x is 10.

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• Hence, the third side = 10 cm.