The sides of a triangle are in the ratio 3:4:5, and its perimeter is 54 cm. Find the area.
Show answer & explanation
Correct answer: B
Explanation
Given:
Ratio of sides = 3 : 4 : 5
Perimeter = 54 cm
According to the formula:
Area = (1/2) × Base × Height
Let the sides be 3x, 4x, and 5x.
Perimeter = 3x + 4x + 5x = 12x
12x = 54
x = 4.5
Sides = 13.5 cm, 18 cm, 22.5 cm
Area = (1/2) × 13.5 × 18 = 121.5 cm²