Answer:
(5.9 , 1)
Step-by-step explanation:
(1 , 0) (1 , 2) length = 2
Third vertex ( x , y)
(x - 1)² + (y - 0)² = 5²
(x - 1)² + (y - 2)² = 5² isosceles triangle
(y - 2)² - y² = 0
-4y + 4 = 0
y = 1
(x - 1)² + (1 - 0)² = 5²
(x - 1)² = 24
x - 1 = ± 2√6
x = 1 + 2√6 or x = 1 - 2√6
X in the 1st quadrant x = 1+2√6 = 5.9