The lengths of the sides of a triangle are in the ratio 3:4:5 and it's perimeter is 144cm find it's area
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Step-by-step explanation:
The ratio of the sides of a triangle = 3 : 4 : 5
Let the common ratio of the sides be x
Therefore, the sides are 3x, 4x and 5x
As we know that:-
Perimeter of triangle = Sum of its sides
⇢3x + 4x + 5x = 144
⇢12x = 144
⇢x =
The sides are:-
⇢ a = 3x = 3 × 12 = 36cm
⇢b = 4x = 4 × 12 = 48cm
⇢c = 5x = 5 × 12 = 60cm
Semi - perimeter (s) =
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