Question

8. The lengths of two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the length of its third side?​

Answer 1

Let the length of third side be ' c '

Perimeter of triangle = a + b + c

36 = 12 + 14 + c

36 = 26 + c

c = 36 - 26

c = 10

Thus , the length of the third side is 10 cm .

Answer 2

$\huge{\bold{\underline{\underline{Question:-}}}}$

The lengths of two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is the length of its third side?

$\huge{\bold{\underline{\underline{Solution:-}}}}$

Let's assume a ∆ ABC,

Here, AB = 12cm

BC = 14cm

Let AC = x

Perimeter = 36cm

A.T.Q.

Perimeter of triangle = sum of all sides

36cm = 12cm+14cm+x

36cm = 26cm + x

36cm - 26cm = x

$\bigstar{\purple{\boxed{\orange{x\:=\:10cm}}}}$

∴ Third side of triangle = 10cm....