Question

the difference between the semiperimeter and the sides of a angle ABC are 8cm, 7 cm and 5 cm respectively. Find the area of the triangle​

Answer 1

Answer:

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Answer 2

Answer:

20✓14 cm²

Step-by-step explanation:

Given s−a=8cm⋯(1)

s−b=7cm⋯(2)

s−c=5cm⋯(3)

Where a, b, c are sides of triangle

s2 is 1 semi perimeter i.e s=a+b+c/2

(1) + (2) + (3)

⇒3s−(a+b+c)=20cm

⇒3s−(25)=20cm

⇒s=20cm

Area of triangle =

root(s(s−a)(s−b)(s−c))

=

root(20(8×7×5))

=

root 5600

=20 root 14