Right Triangle Side Length

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$\sqrt{9}$ or 3

In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The longest side of a right triangle, opposite the right angle.

The sides that form the right angle in a right triangle.

a² + b² = c², where c = √5 and a = 2. Solve for b to find the missing length.

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√((√5)² - 2²) = √(5 - 4) = √1 = 1

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The problem requires finding the length of the unknown side of a right triangle.
The lengths of two sides are given as 2 and √5.
It is necessary to write the answer in simplest radical form.
Using the Pythagorean theorem, a² + b² = c², where c is the hypotenuse
√5 is the length of the hypotenuse
2 is the length of one of the other sides, so plug those values into the equation
2² + b² = (√5)²
Simplifying, 4 + b² = 5
Solving for b², b² = 5 - 4 = 1
Therefore, b = √1 = 1