B1:
ta có \(AC=\frac{2}{3}BD\Rightarrow\frac{1}{2}BD\times\frac{2}{3}BD=48\Leftrightarrow BD=12\left(cm\right)\Rightarrow AC=8\left(cm\right)\)
B2:
a) \(S=\frac{1}{2}\times10\times24=120\left(cm^2\right)\)
b) gọi a là cạnh hình thoi \(\Rightarrow a=\sqrt{\left(\frac{1}{2}\times10\right)^2+\left(\frac{1}{2}\times24\right)^2}=13\left(cm\right)\)
\(\Rightarrow C=4\times13=52\left(cm\right)\)
c) gọi h là đường cao \(\Rightarrow\frac{12}{13}=\frac{h}{10}\Leftrightarrow h=\frac{120}{13}\left(cm\right)\)