plzz solve it fast for me
Answers
Answer:
Let triangle ABC
AB= 3x ; BC= 5x ; AC= 7x
Perimeter= 300m
AB+BC+AC= 300
3x+5x+7x= 300
15x= 300
x= 300/15= 20
∵AB= 3x= 3(20)= 60m
BC= 5x= 5(20)= 100m
AC= 7x= 7(20)= 140m
S= a+b+c/2= 300/2= 150
Area= √s(s-a)(s-b)(s-c)
√150(150-60)(150-100)(150-140)
√150*90*50*10
√2*3*5*5*2*3*3*5*2*5*5*2*5
2*2*3*5*5*5*√3
1500√3 m²
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Step-by-step explanation:
Let the ratios be considered as X.
So our sides will be 3x, 5x and 7x.
Now we are given the perimeter as 300.
3x+7x+5x= 300
15x=300
x= 300/15= 20
So x= 20
Now 3x= 60
5x= 100
7x= 140
So now Using Heron's Formula we get S= 300/2= 150
s-a= 150-60= 90
s-b= 150-100= 50
s-c= 150-140= 10
So ,
= 2,598.076m² (approx.) is the Area