The lenghts of triange are in ratio3:4:5 and its perimeter is 60cm.Find its area.
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Answer:
Let the ratio of length of sides of the triangle be 3 x , 4 x , 5 x
Perimeter = 60 cm
60 = 3 x + 4 x + 5 x
60 = 12 x
x = 5
Therefore, the sides are 3(5) = 15 cm
4(5) = 20 cm
5(5) = 25 cm
Area = sum of length of 3 sides / 2
= 60 / 2 = 30 cm^2
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The sides are in the ratio 3:4:5 then let the sides be 3x 4x and 5x.
3x+4x+5x= 60
12x =60
x = 5
The sides are 15 cm, 20 cm, 25 cm.
The area can be found by heron's formula
S = A+B+C/2
= 60/2
= 30
Area = √s(s-a)(s-b)(s-c)
= √(30)(30-15)(30-20)(30-25)
=√30*15*10*5
=√22500
=150 cm^2
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