Calculate square 2556

Calculate the arm length b of the trapezoid ABCD if a = 12 cm, c = 4 cm, the length of AC is same as the length of BC and the area S of the triangle ABC is 9 cm square.

Correct answer:

b =  6.1847 cm

Step-by-step explanation:

a=12 cm c=4 cm S=9 cm2  S = 2a v v=2 S/a=2 9/12=23=1.5 cm  b2 = v2 +(a/2)2 b=v2+(a/2)2=1.52+(12/2)2=6.1847 cm

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