Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the missing leg √21 inches.
What is Pythagoras theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the measure of the different sides of a right-angled triangle,
- Length of Hypotenuse = 5 inches
- Length of one leg = 2 inches
Let the length of the other leg of the right-angled triangle be represented by x.
Now, using the Pythagoras theorem, the sum of the square of the length of the legs of the triangle will be equal to the square of the length of the hypotenuse. Therefore,
5² = 2² + x²
25 = 4 + x²
25 - 4 = x²
x² = 21
x = √21
Hence, the length of the missing leg √21 inches.
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