Question

Find the area of the triangle ABC with sides 15cm, 15 cm and 24 cm?

Answer 1

`108`

Explanation:

By the Pythagorean Theorem we get
`12^2+h^2=15^2`
so `h=9`
`A=1/2*24*9=108`

Answer 2

`16A^2=(a+b+c)(-a+b+c)(a-b+c)(a+b-c)=(15+15+24)(-15+15+24)(15-15+24)(15+15-24)=54(24)(24)(6)= 3^2 6^2 24^2 = 3^2 3^2 12^2 2^4`

`A=(3)(3)(12)=108`