Question

Find the measure of x, y, and z. Enter your answer as a number, rounded to the nearest tenth if needed.

Answer 1

x = 6.

y = 6.7.

z = 13.4.

Explanation:

The 2 triangles contained in the biggest one are similar, so:

x/12 = 3/x

x^2 = 36

x = 6.

Applying the Pythagoras theorem:

z^2 = 6^2 + 12^2

z^2 = 36 + 144 = 180

z = 13.4.

y^2 = x^2 + 3^2

= 36 + 9

= 45

y = 6.7