How do you find the area given a=75.4, b=52, c=52?

Apr 2, 2017

$1350.2$

Explanation:

Using Heron's formula

Area=sqrt(p(p-a)(p−b)(p−c)

$p$ is half the perimeter, or $\frac{a + b + c}{2}$

So let's find $p$

$p = \frac{75.4 + 52 + 52}{2} = \frac{179.4}{2}$

$p = 89.7$

Now let's substitute the value of $p$ into Heron's formula

Area=sqrt(89.7(89.7-75.4)(89.7-52)(89.7-52)

Area=sqrt(89.7(14.3)(37.7)(37.7)

$A r e a = \sqrt{1823102.896}$

$A r e a \approx 1350.223276$