what is the value of s? units

Explanation:

Step1: Apply the Pythagorean theorem in right - triangle ABD

In right - triangle ABD, if we consider the two legs (AB = 8) and (BD=15). According to the Pythagorean theorem (a^{2}+b^{2}=c^{2}), where (c) is the hypotenuse. Here, (s) is the hypotenuse of right - triangle ABD, (a = 8) and (b = 15).

Step2: Calculate (s)

[s=\sqrt{8^{2}+15^{2}}=\sqrt{64 + 225}=\sqrt{289}=17]

Answer:

17