The value of the missing length in the image shown using the Pythagoras theorem is x = 65
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.
Let h represent the missing red line. Using Pythagoras:
x² = h² + 25²
h² = x² - 25²
Also:
r² = h² + 144²
r² = x² - 25² + 144²
And:
(144 + 25)² = r² + x²
(144 + 25)² = (x² - 25² + 144²) + x²
x = 65
The value of the missing length in the image shown using the Pythagoras theorem is x = 65
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