Question

If a triangle of sides 5:8:12 and perimeter 250 so what would be its area if we solve it by herons formula​

Answer 1

Answer:

Sum of ratio= 5+8+12=25

perimeter=sum of 3 sides=250

sides=5/25×250=50cm

8/25×250=80 cm

12/25×250=120cm

Are of triangle herons formula

A=√s(s-a)(s-b)(s-c)

s= semi perimeter=a+b+c/2

. =50+80+120/2

=250/2

=125

A=√125(125-50)(125-80)(125-120)

=√125(75)(45)(5)

=√125(16875)

=√2109375

=1452.368 cm2