Answer:
? ≈ 8.9 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
a² + b² = c² ( c is the hypotenuse and a, b the legs )
let a = ? , b = 8 and c = 12 , then
a² + 8² = 12²
a² + 64 = 144 ( subtract 64 from both sides )
a² = 80 ( take square root of both sides )
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{80}[/tex] , then
a ≈ 8.9 in ( to the nearest tenth )
That is the missing side is approximately 8.9 in
