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:

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.