Question

using heron's formula find the area of triangular field whose sides are 30 M 40 m and 50 M also find the length of altitude drawn on the largest side

Answer 1

Let a = 30m, b = 40m and c = 50m

Perimeter = a + b + c

= 30 + 40 + 50 = 120m

Semi Perimeter = a + b + c/2 = 120/2 = 60m

s - a = 60 - 30 = 30m

s - b = 60 - 40 = 20

s - c = 60 - 50 = 10

Heron's Formula: √s(s - a)(s - b)(s - c)

=√60*30*20*10

=√2*3*10*3*10*2*10*10

= 2*3*10*10

= 600m²

Length of altitude drawn on the largest side: 600/50 = 12m

Hope it helps :)

Answer 2

Step-by-step explanation:

Area= 600m²

Altitude=12m