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gayaneshka [121]
3 years ago
8

Solve for x, y, and z. Please hurry.

Mathematics
1 answer:
ryzh [129]3 years ago
8 0

Answer:

  • x = 12√2, y = 12, z = 12√3

Step-by-step explanation:

  • <em>Left side triangle is 45 degree and right side triangle is 30-60-90 degree</em>

<u>45 degree triangle:</u>

  • a = b, c = a√2

<u>30-60-90 degree triangle:</u>

  • a : b : c = 1 : √3 : 2

<u>Side opposite to 30° angle is half the hypotenuse, this side is same as y:</u>

  • y = 1/2*24 = 12

<u>Hypotenuse of 45° triangle is √2 time the side:</u>

  • x = 12√2

<u>Back to 30°-60°-90° triangle:</u>

  • z = 12√3
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