Question

7. If (2,4) (4,2) are the extremities of the hypotenuse of a right
angled isosceles triangle, then the third vertex is(with process)
​

Answer 1

Answer:

2,2 is the 3rd vertex.....

Answer 2

Answer:

(2,2) or (4,4)

Step-by-step explanation:

Length of Hypotenuse

=√(2−4)2+(4−2)2=2√2

Since, it is an Isosceles Triangle , Let us Assume its height and base =a

such that

√a^2+a^2= 2√2⇒a√2=2√2⇒a=2

From Given options only (2,2) and (4,4) are satisfying this Equation

√(x−2)^2+(y−4)^2=2

Hope it helps!