Question

Encontrem as medidas a,h,m,n no retângulo,sabendo que suas medidas estão em metros...por favor me ajudem

Answer 1

Teorema de pitágoras:

$a^2=12^2+16^2$

$a^2=144+256$

$a^2=400$

$a=\sqrt{400}$

$a=20~\text{m}$


$ah=bc$

$20h=12\cdot16$

$20h=192$

$h=\dfrac{192}{20}$

$h=9,6~\text{m}$.


$12^2=n^2=(9,6)^2$

$144=n^2+92,16$

$n^2=51,84$

$n=\sqrt{51,84}$

$n=7,2~\text{m}$.


$a=m+n$

$20=m+7,2$

$m=20-7,2$

$m=12,8~\text{m}$