Question

The difference between the semi perimeter and sides of a triangle are 10cm, 6cm&,4cm respectively. Find the area of the triangle

Answer 1

Answer:

Step-by-step

let the sides of a triangle be a,b and c

According to the condition,

s-a=10→1

s-b=6→2

s-c=4→3

Adding 1,2 and 3

[s-a]+[s-b]+[s-c]=10+6+4

3s-[a+b+c]=20

3s-2s=20 {a+b+c/2=2s}

s=20→4

area of the triangle = √s[s-a][s-b][s-c]

                                   √20×10×6×4

                On solving,

                          40√3cm² is the area of triangle