Problems from Heron's formula for the area of a triangle

Development:

First we proceed to calculate the semiperimeter.

The information of the statement interpreted by our formula is:

$a=11,b=11,c=7,5$

Then we have: $p={\displaystyle \frac{a+b+c}{2}}={\displaystyle \frac{11+11+7,5}{2}}=14,75$

Applying it to Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}=$ $=\sqrt{14,75\cdot (14,75-11)\cdot (14,75-11)\cdot (14,75-7,5)}=38,5{\text{cm}}^2$

Solution:

$38,5{\text{cm}}^2$

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