Determine the length of BC . ANSWERS: A) 12.25 units B) 24.71 units C) 19.00 units D) 5.57 units

A) 12.25 units

Step-by-step explanation:

From Pythagorean theorem:

Defining:

The system of equations is:

x + y = 625   (eq. 1)

36 + z = y     (eq. 2)

361 + z = x    (eq. 3)

Replacing equation 3 into 1:

361 + z + y = 625

From equation 2:

z = y - 36

Replacing it into equation 1:

361 + y - 36 + y = 625

2y = 625 + 36 - 361

y = 300/2

y = 150

Finally:

BC = √y

BC = √150

BC = 12.25 units

isn't it a pentagon? sense [3 (triangle) + 4 (rectangle)] - 2 (triangle and rectangle connected) = 5 (pentagon)