Question
The sides of a right-angled triangle are in the ratio
12:13:5. If the total perimeter of the triangle is 120 cm, determine its area.Solution
Perimeter of triangle = 120
12x + 13x + 5x = 120
Or, 30x = 120
So, x = 4
Since, the triangle is right angled, the largest side is the hypotenuse.
So, area of triangle = (1/2) x base x height = (1/2) x 4 x 12 x 4 x 5 = 480 cm2
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