Isosceles 37621

In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A

Correct answer:

v =  6.9 cm
α =  60 °

Step-by-step explanation:

a=20 cm c=12 cm r=8 cm x=(ac)/2=(2012)/2=4 cm v=r2x2=8242=4 3=6.9 cm
sin α = v:r α=π180°arcsin(v/r)=π180°arcsin(6.9282/8)=60

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