Question

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Answer 1

Resposta:

1)  

a)

tan(60) =AB/AD ==>       AD=AB/tan(60) =6/√3=6√3/3=2√3 cm

b)

CD =AC-AD

tan45= AB/AC ==> AC=AB/tan45= 6/(1)=6

CD = 6 - 2√3  cm

c)

sen45=AB/BC ==>BC =AB/sen45= 6/(√2/2)=12/√2=6√2 cm

2)

AB=2r =?

r²=(6-r)² +(2√6)²

r²=36-12r+r²+24

12r =60

r=5

AB=2r =10 cm