The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side (in cm) is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 48
Ratio of side of triangle = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
Perimeter of triangle = 104 cm
⇒ 6x + 4x + 3x = 104 cm
⇒ 13x = 104
⇒ x = 8
Hence,
Longest side length = 6 × 8 = 48 cm