Isosceles 7929

ABCD isosceles trapezoid. A = 6cm, e = 7cm and delta angle = 105 °. Calculate the remaining pages.

Correct answer:

b =  5.4788 cm
c =  3.164 cm
d =  5.4788 cm

Step-by-step explanation:

a=6 cm e=7 cm D=105   B=180D=180105=75   e2=a2+b22abcosB  72=62+x22 6 x cos(75°)  x23.106x13=0  x23.106 x13=0 x23.106x13=0  a=1;b=3.106;c=13 D=b24ac=3.106241(13)=61.647236 D>0  x1,2=2ab±D=23.11±61.65 x1,2=1.553±3.9257876916614 x1=5.4787876916614 x2=2.3727876916614   Factored form of the equation:  (x5.4787876916614)(x+2.3727876916614)=0  b=x1=5.4788=5.4788 cm

Our quadratic equation calculator calculates it.

cosB=x/b x=b cos(B)=5.4788 cos(75°)1.418 cm c=a2 x=62 1.418=3.164 cm
d=b=5.4788=5.4788 cm

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