Question Number 205639 by mr W last updated on 26/Mar/24
Answered by mahdipoor last updated on 26/Mar/24
$${Trapezium}−\mathrm{2}\:{Right}\:{triangle}={area}\:\Rightarrow \\ $$$$\left[\frac{\left({r}\right)+\left(\mathrm{4}+{r}\right)}{\mathrm{2}}×\mathrm{4}\right]−\left[\frac{\left(\mathrm{4}+{r}\right)\left({r}\right)}{\mathrm{2}}+\frac{\left(\mathrm{4}−{r}\right)\left({r}\right)}{\mathrm{2}}\right]=\mathrm{8} \\ $$
Commented by mr W last updated on 26/Mar/24
Answered by mr W last updated on 26/Mar/24
Commented by mr W last updated on 26/Mar/24
$${CD}//{AB} \\ $$$$\Delta_{{ABC}} =\Delta_{{ABD}} =\frac{\mathrm{4}×\mathrm{4}}{\mathrm{2}}=\mathrm{8}\:\checkmark \\ $$