Calculate 7

Calculate the height of the trapezoid ABCD, where the coordinates of vertices are:
A[2, 1], B[8, 5], C[5, 5] and D[2, 3]

Correct answer:

h =  1.6641

Step-by-step explanation:

Ax=2 Ay=1 m1=8Ax5Ay=8251=320.6667 m2=5855=0 m3=2535=320.6667 m4=Ax2Ay3=2213=  m1 = m3 AB  CD  CD: c=10  5a+5b+c=0 2a+3b+c=0 5a+5b+10=0 2a+3b+10=0  5 a+5 b+10=0 2 a+3 b+10=0  5a+5b=10 2a+3b=10  Row252 Row1Row2 5a+5b=10 b=6  b=16=6 a=5105b=5105 (6)=4  a=4 b=6  CD : 4x6y+10=0  h=a2+b2a Ax+b Ay+c=42+(6)24 2+(6) 1+10=1.6641



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