Question

Solve for z. Round to the nearest tenth, if necessary.

Answer 1

9514 1404 393

Answer:

  45.6

Step-by-step explanation:

There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).

  27 = √(16z)

  z = 27²/16 = 45.5625

  z ≈ 45.6

Answer 2

Answer:

z = 45.6

Step-by-step explanation:

because the triangle that we know all the length is similar to the large triangle,

z = 27/(16/27)= 45.5625