Question

If (s-a) =5cm, (s-b) =10cm, (s-c) =1cm, then find S. s is the semi perimeter of a triangle .​

Answer 1

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Answer 2

The value of s is 16 cm.

Step-by-step explanation:

It is given that (s-a) =5cm, (s-b) =10cm, (s-c) =1cm.

We need to find the value of s, where s is the semi perimeter of a triangle.

$s=\dfrac{a+b+c}{2}$

$2s=a+b+c$             .... (1)

Add the given information.

$(s-a)+(s-b)+(s-c)=5+10+1$

$3s-a-b-c=16$

It can be rewritten as

$3s-(a+b+c)=16$

Using (1) we get

$3s-2s=16$

$s=16$

Therefore, the value of s is 16 cm.

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