Question

afalati aria paralelogramului ABCD daca AB =BD=10 cm si AD = 12

Answer 1

ABCD paralelogram, deci AB=DC si BC=AD, deci  Sabd=Sbdc
$Sabd= \sqrt{p(p-a)(p-b)(p-c)}$
a=AB=10
b=BD=10
c=AD=12
$p= \frac{a+b+c}{2} => p= \frac{10+10+12}{2} =16$
p-a=16-10=6
p-b=16-10=6
p-c=16=12=4
$S= \sqrt{16*6*6*4} =48$
Sabcd=2*Sabd=2*48=96