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4 years ago

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

Mathematics

1 answer:

weeeeeb [17]4 years ago

5 0

Answer:

x = 6.

y = 6.7.

z = 13.4.

Step-by-step 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

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