Question

If a square has a side length of 95 mm. What is the length of the diagonal of the square? Express your answer in simplest radical form

Answer 1

A diagonal divides a square into two 45-45-90 triangles, which have lengths adhering to the ratio of x: x: x√2. Therefore, 4√2 is the correct answer as the diagonal represents the hypotenuse of the triangle. the Pythagorean theorem can also be used: 42+ 42 = c2.