The sides of triangle are in ratio 13:14:15 and it's perimeter is 84. Find the area of triangle
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1
Answer:
Step-by-step explanation: I think it will help you
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Answered by
1
Answer:
336 sq.unit
Step-by-step explanation:
Let the sides of triangle be:13x, 14x, 15x
now,
13x + 14x + 15x = 84
42x = 84
x = 2
now on putting value
13x = 13×2 = 26 units
14x = 14×2 = 28 units
15x = 15×2 = 30 units
now we have all the sides,
using herons formula,
semiperimeter = 84÷2 = 42units
so,
area = √[42(42-26)(42-28)(42-30)]
=√[42×16×14×12]
=√[112896]
=336 sq. units
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