Question

Find the area of a triangle whose sides are 19cm,14cm,17cm by heron's formula

Answer 1

Solution is in the pic

Answer 2

Heya!!

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

a = 19 cm

b = 14 cm

c = 17 cm

Now,

By Heron's formula,

s = (a + b + c)/ 2

= (19+ 14 + 17)/ 2

= 50/2

= 25

Then,

Area of triangle = root s(s-a)(s-b)(s-c)

= root 25(25-19)(25-14)(25-17)

= root 25 × 6 × 11 × 8

= root 200 × 66

= root 13200

= 114.89 cm^2

Hence, the area of triangle is 114.89 cm^2.

Hope it helps uh :)