Trapezoid IV

In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD?

Correct result:

S =  110.6345 cm2

Solution:

x15=12x7 x=90118.181818 cm y=12x=42113.818182 cm  x=152x2=12.5721060781 cm y=72y2=5.86698283646 cm  S=S1+S2+S3+S4 S=xx/2+xy/2+yy/2+xy/2 S=(xx+xy+yy+xy)/2 S=110.6345 cm2 



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