Answer:
s = 17 units
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD
• c² = a² + b² ( c is the hypotenuse and a, b the legs )
let a = AB , b = BD and c = AD , then
AD² = AB² + BD² ( substitute values )
s² = 8² + 15²
s² = 64 + 225 = 289 ( take square root of both sides )
[tex]\sqrt{s^2}[/tex] = [tex]\sqrt{289}[/tex]
s = 17 units
