Question

Use the polynomial identity to determine which values of x and y generate the values of the sides of the following right triangle.

x = 8, y = 3
x = 3, y = 8
x = 6, y = 4
x = 4, y = 6

Answer 1

x^2 = 73 - y^2


x^2 - y^2 = 55
substituting in to it
73 - 55 = 2y^2
18 = 2y^2
y = 3
x^2 - 73 - 9
x = 8

answer is A

Answer 2

answer is x = 8, y = 3

Explanation:

x²= 73 - y²

x² - y² = 55

substituting in to it

73 - 55 = 2y²

18 = 2y²

subtract 2y² from both side

18 - 2y² = 2y² - 2y²

2y² + 18 =0

subtract 18 from both side

2y² + 18 - 18 = 0 - 18

-2y² = - 18

divide both sides by -2

-2y²/-2 = -18/-2

y² = 9 Take square root

y = ±
`√(9)`

y = 3

x² = 73 - 9

x = 8

answer is x = 8, y = 3