Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

Let $s=\frac{a+b+c}{2}$ (semi-perimeter)

$A=\sqrt{s(s-a)(s-b)(s-c)}$

We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, $s$, is equal to $\frac{15+18+5}{2}=\frac{38}{2}=19$.

Thus, the area of this triangle is:

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

Answer 2

Answer:

38

Step-by-step explanation: