To solve this question, we need to know the Pythagorean theorem and what it means. The Pythagorean theorem states that in a right triangle with legs a and b, hypotenuse c, there is a relationship a² + b² = c². Since we see that this is a right triangle (due to it having a right angle), we can substitute the values of the legs and solve for the hypotenuse. The equation becomes:
17² + 24² = c²
Simplify
289 + 576 = c²
c² = 865
c = √865
That means that the value of the hypotenuse is √865, or approximately 29.41