The lengths of the sides of a right-angled triangle are in the ratio 5 : 12 :13 and its perimeter is 90 cm. What is the area (in cm2) of the triangle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 270.
Let the common ratio of sides be x.
The three sides of a triangle are 5x, 12x, and 13x.
Perimeter = Sum of all sides = 90 cm
5x + 12x + 13x = 90
30x = 90
x = 3
5x = 5(3) = 15
12x = 12(3) = 36
Area of triangle = base(height)/2 = 15(36)/2 = 270