Geometry b
which of these is the length of the hypotenuse of a 30°-60°-90° triangle with legs
measuring 6 in. and 6v3 in.?

Hypotenuse = 12 inches

Step-by-step explanation:

As the given triangle involves an angle of 90°, this is a right angle triangle.

We an use the Pythagoras theorem to find the length of hypotenuse

So,

Hence the length of hypotenuse is 12 inches ..

The length of the hypotenuse is 12 inches.

Step-by-step explanation:

You need to use the Pythagorean Theorem:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

You can say that:

Therefore, substituting values into and solving for "a", we get that the lenght of the hypotenuse is:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1