Calculate 7

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

Correct result:

h =  1.6641

Solution:

Ax=2 Ay=1 m1=5Ay8Ax=5182=230.6667 m2=5558=0 m3=3525=230.6667 m4=Ay3Ax2=1322=  m1=m3 ABCD  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  a=4 b=6  CD:4x6y+10=0   h=a Ax+b Ay+ca2+b2=4 2+(6) 1+1042+(6)2=1.6641



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Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
See also our trigonometric triangle calculator.
Pythagorean theorem is the base for the right triangle calculator.

 
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