The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let h represent the missing red line. Using Pythagoras:
x² = h² + 900²
h² = x² - 900²
Also:
r² = h² + 1600²
r² = x² - 900² + 1600²
And:
(1600 + 900)² = r² + x²
(1600 + 900)² = (x² - 900² + 1600²) + x²
x = 1500
The value of the missing length in the image shown using the Pythagoras theorem is x = 1500
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