Question

Please help me with this....

Answer 1

Answer:

Step-by-step explanation:

Let the semi-perimeter of the triangle be s.

Let the sides of the triangle be a, b and c.

HENCE,

s – a = 8

s – b = 7

s – c = 5

Adding all the above equations, we get

(s – a) + (s – b) + (s – c) = 8 + 7 + 5

⇒ 3s – (a + b + c) = 20

⇒ 3s – 2s = 20

⇒ s = 20 cm

Thus the semi-perimeter is 20 cm

SO THE AREA OF Δ = √s(s-a)(s-b)(s-c)

         ∴ AREA OF Δ = √20×8×7×5

           ∴ AREA OF Δ = 20√14 cm²