The lengths of three sides of a triangle are in the ratio 3 : 4: 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in cm2) of the triangle is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 19.44
Given that
The sides of a triangle = 3x, 4x, 5x
According to the question
5x - 3x = 2x = 3.6 cm
x = 3.6/2 = 1.8 cm
The area of given triangle = ½ × 3x × 4x
= ½ × 3 × 1.8 × 4 × 1.8 = 19.44 cm2