The sides of a triangle are in the ratio 13:14:15 and its perimeter is 84cm.Find the area of the triangle.
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let the sides be 13x , 14x and 15x
Now,
perimeter of triangle = 13x+14x+15x
perimeter of triangle= 42x
84 = 42x
84/42 = x
2 =x
Now,
sides are 13*2 = 26
14*2 = 28
15*2 = 30
Then,
area b heron formula,
area= root [42 * (42-26) * (42-28) *(42-30) ]
area = root [42*16*14*12]
area = root [ 112896]
area = 336cm^2
i hope this will help you
-by ABHAY
Now,
perimeter of triangle = 13x+14x+15x
perimeter of triangle= 42x
84 = 42x
84/42 = x
2 =x
Now,
sides are 13*2 = 26
14*2 = 28
15*2 = 30
Then,
area b heron formula,
area= root [42 * (42-26) * (42-28) *(42-30) ]
area = root [42*16*14*12]
area = root [ 112896]
area = 336cm^2
i hope this will help you
-by ABHAY
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