Question

if the difference between semi perimeter and the sides of a triangle or 8,7,5 then the sides will be​

Answer 1

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Answer 2

Answer:

Let us suppose the semi perimeter of the given triangle ABC is “s”. Its three sides are of the lengths “a”, “b” and “c”

AS given that difference between semi perimeter and sides are 8 cm , 7 cm and 5 cm.

Thus, in the triangle ABC , we have

s-a = 8

s-b = 7

s- c = 5

Thus three sides will be as follows,

a = s-8

b = s-7

and c = s-5

Since formula for semi perimeter is,

s=a+b+c2s=a+b+c2

Now, substitute the values in above formula, we get

s=(s−8)+(s−7)+(s−5)2s=(s−8)+(s−7)+(s−5)2

Now do simplification, to get

s=(s−8)+(s−7)+(s−5)2⇒2s=3s−20⇒s=20s=(s−8)+(s−7)+(s−5)2⇒2s=3s−20⇒s=20

Thus, the semi perimeter is 20