Question

The sides of triangle measure 8 cm, 12 cm, and 16 cm. Find the area of the triangle using Heron's
formula​

Answer 1

Answer:

given= a =8cm b=12cm c=16cm

Step-by-step explanation:

prove= find area of triangle by herons formula

proof- according to heron's formula

√s×(s-a)* (s-b) *(s-c)

s= sum of all side divide by 2

s=36÷2=18

√18×(18-8)×(18-12)×(18-16)

√18×10×6×2

√18×120

2160

Answer 2

46.4758cm square

Step-by-step explanation:

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·﹣84+2·(8·12)2+2·(8·16)2﹣124+2·(12·16)2﹣164≈46.4758cm²