Question

Find the area of the triangle by using heron's formula - if the sides a= 40 m, b=24m and c= 32m​

Answer 1

Answer:

Triangle

Solve for area

A=384m²

a Side

40

m

b Base

24

m

c Side

32

m

Using the formulas

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=1

4﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·﹣404+2·(40·24)2+2·(40·32)2﹣244+2·(24·32)2﹣324=384m²

Answer 2

Step-by-step explanation:

by herons formula

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c/2

Solving forA

A=1/4 √﹣a^4+2(ab)^2 + 2(ac)^2﹣b^4 + 2(bc)^2﹣c^4

1/4· √﹣40^4+2·(40·24)^2+2·(40·32)^2﹣244+2·(24·32)^2﹣324

=384

hope it helps u ♥️