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

Try calculation via our triangle calculator.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Calculation of an isosceles triangle.
See also our right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: