Correct Answer - Option 3 : 12 cm
GIVEN:
The sides of a triangle = x + 3, 2x + 2, 2x
The perimeter of triangle = 28 cm
CONCEPT USED:
The perimeter of a triangle is sum of length of sides of triangle
CALCULATIONS:
Perimeter of triangle = x + 3 + 2x + 2 + 2x
⇒ 30 = 5x + 5
⇒ 30 - 5 = 5x
⇒ x = 25 ÷ 5
⇒ x = 5
The side of the triangle are x + 3, 2x + 2, 2x = 8, 12, 10
The longest side = 12 cm
∴ the longest side of the trinagle is 12 cm