Question

The perimeter of a triangle is 276 m and the product of differences of semi-perimeter and its respective sides is 496800 meter.the area of the triangle.

Answer 1

Answer:

8280 m²

Step-by-step explanation:

A = √s(s-a)(s-b)(s-c)  , s = p/2 = 276l2 = 138

a = √138×496800 = 8280 m²

Answer 2

Perimeter of triangle = 276 m

⇒ a+b+c = 276

⇒ Semi- Perimeter = a+b+c/2

= 276/2 = 138 m

Now,

(s-a) (s-b) (s-c) = 496800

Area of the triangle = √s (s-a) (s-b) (s-c)

= √138 x 496800

= 8680 cm²