Question

me ajude prfv
eu só preciso disso estou dando 87 pontos

Answer 1

37)

a) Os triângulos AMN e ABC são semelhantes e a razão de semelhança é $\dfrac{1}{2}$

$\dfrac{\text{MN}}{\text{BC}}=\dfrac{1}{2}~\Rightarrow~\dfrac{\text{MN}}{14}=\dfrac{1}{2}~\Rightarrow~\text{MN}=\dfrac{14}{2}~\Rightarrow~\text{MN}=7~\text{cm}$

b) $\dfrac{\text{MN}}{\text{BC}}=\dfrac{1}{2}~\Rightarrow~\dfrac{\text{MN}}{4,5}=\dfrac{1}{2}~\Rightarrow~\text{MN}=\dfrac{4,5}{2}~\Rightarrow~\text{MN}=2,25~\text{cm}$

c) $\dfrac{\text{MN}}{\text{BC}}=\dfrac{1}{2}~\Rightarrow~\dfrac{\text{MN}}{4,8}=\dfrac{1}{2}~\Rightarrow~\text{MN}=\dfrac{4,8}{2}~\Rightarrow~\text{MN}=2,4~\text{cm}$

38) A base média é igual à medida da metade da soma das duas bases.

a) $x=\dfrac{5,4+8,6}{2}=\dfrac{14}{2}=7~\text{cm}$

b) $6=\dfrac{x+9}{2}~\Rightarrow~x+9=12~\Rightarrow~x=3$

c) $5,6=\dfrac{4,8+x}{2}~\Rightarrow~4,8+x=11,2~\Rightarrow~x=6,4$