Question

Find the area of the triangle 15cm, 18cm, 5cm

Answer 1

38

Explanation:

Answer 2

`32.62\:\mathrm{cm^2}`

Explanation:

The area of a triangle with side lengths
`a`,
`b`, and
`c` is given by:

Let
`s=(a+b+c)/(2)` (semi-perimeter)

`A=√(s(s-a)(s-b)(s-c))`

We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter,
`s`, is equal to
`(15+18+5)/(2)=(38)/(2)=19`.

Thus, the area of this triangle is:

`A=√(19(19-18)(19-15)(19-5)),\\A=√(19\cdot 1\cdot 4\cdot 14),A=√(1064)=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}`