Finding the Length of the Hypotenuse

In a right-angled triangle, the length of the hypotenuse can be found using the Pythagorean Theorem:

[ c = \sqrt{a^2 + b^2} ]

where (a) and (b) are the lengths of the other two sides. In this case, if the triangle has sides of length 3 and 4, then:

[ c = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 ]

So, the length of the hypotenuse is 5.