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 is  x = 8, y = 3

Step-by-step 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 = ±

y = 3  

x² = 73 - 9  

x = 8  

answer is x = 8, y = 3

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

step-by-step explanation: