By using the Pythagorean theorem and properties of rhombuses, we find that the lengths of x, w, y and z are 9, 3√109, 16 and 34 units, respectively.
How to find the missing lengths of the irregular rhombus by Pythagorean theorem
The Pythagorean theorem is used to determine the length of a missing side in right triangle. This irregular rhombus is formed by four different right triangles. The missing sides can be found by using that theorem four times:
x = √(15² - 12²)
x = 9
w = √(x² + 30²)
w = √(9² + 30²)
w = 3√109
y = √(20² - 12²)
y = 16
z = √(30² + y²)
z = √(30² + 16²)
z = 34
By using the Pythagorean theorem and properties of rhombuses, we find that the lengths of x, w, y and z are 9, 3√109, 16 and 34 units, respectively.
To learn more on Pythagorean theorem: https://brainly.com/question/26183488
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