Right-angled 82561

Determine point C so that triangle ABC is right-angled and isosceles with hypotenuse AB, where A[4,-6], B[-2,10]

Correct answer:

x1 =  5
y1 =  -16
x2 =  -5
y2 =  16

Step-by-step explanation:

A=(3,6) B=(2,10)  c=dist(A,B)=AB=(AxBx)2+(AyBy)2=(3(2))2+((6)10)2=28116.7631  x0=2Ax+Bx=23+(2)=21=0.5 y0=2Ay+By=2(6)+10=2  C1=(x1,y1) C2=(x2,y2)  x1=AxBx=3(2)=5
y1=AyBy=(6)10=16
x2=BxAx=(2)3=5
y2=ByAy=10(6)=16   Verifying Solution:   C=(5,16) D=(5,16)  x2=dist(C,D)=CD=(CxDx)2+(CyDy)2=(5(5))2+((16)16)2=2 28133.5261



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Tips for related online calculators
See also our right triangle calculator.
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

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