A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of centimeter

9514 1404 393

  20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

  x^2 +12^2 = 24^2

  x^2 = 576 -144 = 432

  x = √432 ≈ 20.8 . . . cm

The other leg is about 20.8 cm.

Additional comment

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer is  

c.

36

step-by-step explanation: