Right-angled triangle

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

Final 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



Help us improve the example. If you find a mistake, let us know. Thank you!







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

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: