Question

PLEASE HELP!!
Two vertices of a right triangle have coordinates (20, 15) and (20, 27) . The segment that connects these points is a leg of the triangle.

Which coordinate pair for the third vertex would create a right triangle?

​ (27, 20) ​
​ (20, 20) ​
​ (20, 32) ​
​ (7, 27) ​

Answer 1

We can use the formula for distance between two points.
D^2=X^2+Y^2
Solve the distance between point (20,15) and (20,27) D^2= (20-20) ^2+ (27-15) ^2
D=SQRT (0+12^2)
D=12
It is a right triangle means we have two equal sides, solving for the third vertex, we need to use the distance formula.
D^2=X^2+Y^2
We can substitute x and y components and solve if the calculated distance is 12.
After evaluation, no point qualifies to be the third vertex.
The answer doesn't belong in the choices given in the problem.

Answer 2

solution for your problem