Question

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

Answer 1

z = 45.6

Explanation:

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

z = 27/(16/27)= 45.5625

Answer 2

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Answer:

45.6

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