Find the missing sides. will give !

Step-by-step explanation:

The first triangle is a 30-60-90 right triangle.  We have a Pythagorean triple associated with this type of triangle that is

 (x , x√3, 2x) which represent the side lengths across from the

(30°, 60°, 90°)

We have the side length across from the 30° as 14.  That means that x = 14.  In our figure, "y" is across from the 60° which means that the side length is

14√3, which has a decimal equivalency of 24.24871131; in our figure "x" is the hypotenuse which is 14(2) which is 28.

For the intents and purposes of keeping you not confused:

x = 28, y = 14√3 (or 24.24871131)

The next triangle is also a right triangle but this one is a 45-45-90.  The Pythagorean triple for that triangle is

( x , x , x√2 ) as the side lengths across from the

(45°, 45°, 90°)

We have a side length across from the 90° as 18 units long; therefore, according to our Pythagorean triple:

x√2 = 18 and

x = and, rationalizing the denominator:

so

x = 9√2, which has a decimal equivalency of 12.72792206.

Summing up again:

x = 9√2 (or 12.72792206)