Question

What is the Value of Y? (Confused, GEOMETRY)

A. 3√3
B.6√3
C.9√3
D.12√3

Answer 1

we can use pythagorean theorem to solve this ... since we have a and c, we can use c^2 - a^2 = b^2

12^2 - 6^2 = b^2
144 - 36 = b^2
180 = b^2 (now we get the square root of each side)
√108 = √b² (108 can be written as 36 times 3)
√36 √3 = √b²
6√3 = b

so, your answer is 6√3...B

Answer 2

y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 6√3

answer is B.6√3