Question - Finding the Hypotenuse of a Right Triangle with Given Leg Lengths

The question asks to find the hypotenuse \( c \) of a right triangle with legs \( a = 3 \) and \( b = 4 \).

We use the Pythagorean theorem: \( a^2 + b^2 = c^2 \).

Substitute the given values: \( 3^2 + 4^2 = c^2 \).

Calculate the squares: \( 9 + 16 = c^2 \).

Add the results: \( 25 = c^2 \).

Take the square root of both sides: \( \sqrt{25} = \sqrt{c^2} \).

Thus, \( c = 5 \).