The length of the other leg of the right triangle is the square root of 3.
What is Pythagoras' Theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as the equation:
a² + b² = c²
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
This can be expressed as the equation: [tex]a^2 + b^2 = c^2[/tex]
where a and b are the lengths of the other two sides of the right triangle, and c is the length of the hypotenuse.
In our case, we are given that the hypotenuse has a length of 4 and that one of the legs has a length of the square root of 5. We can substitute these values into the equation to find the length of the other leg:
[tex]5^2 + b^2 = 4^2[/tex]
Solving for b, we find that the length of the other leg is the square root of 3.
Hence, the length of the other leg of the right triangle is the square root of 3.
To learn more about Pythagora's theorem, visit:
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