question_answer 1)

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

Answer:

Let ABC be the given triangle and its sides AB = 12 cm and BC = 14 cm. Also perimeter of triangle = 36 cm We know that, Perimeter of a triangle = Sum of all its sides i.e. \[AB+BC+CA=36cm\] \[12cm+14cm+CA=36cm\] \[\Rightarrow \]\[(12+14)cm+CA=36cm\Rightarrow 26cm+CA=36cm\]\[\Rightarrow \] \[CA=(36-26)cm=10cm\] Hence, the third side of the triangle is 10 cm.