Heron's Formula

$\frac{1}{2\ }\ b\ \times\ h$

$\sqrt{\frac{3}{16}}\ a^{2\ }$

$\frac{1}{4}\times b\times\sqrt{4a^{2\ }-\ b^2},\$

$b\times\ h$

$\frac{\sqrt{3}}{4}\ a$

$\frac{1}{4}$ $\sqrt{3\ a}$

$\sqrt{\frac{3}{4}a}$

$\frac{\sqrt{3}}{4}\ a^2$

two sides are given

three sides are given

not possible

do not have an idea

56

28

24.2

104.4

 $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}\ cm$  

 $\sqrt{s\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ m$  

 $\sqrt{s\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ cm^2$  

 $\sqrt{\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ cm^2$  

3

6

9

12

12

40.65

19

This triangle does not exist

 $48\ cm$  

 $24\ cm$  

 $12\ cm$  

 $36\ cm$  

$100\sqrt{3}\ m^2$

$10\sqrt{3}\ m^2$

$15\sqrt{3}\ m^2$

$20\sqrt{3}\ m^2$

$\sqrt{15}$

$\frac{\sqrt{15}}{2}$

$2\sqrt{15}$

$4\sqrt{15}$