Helppp! find the missing triangle side length below using pythagorean theorem. leave answer in simplified radical form please!

The side a measures units and the side x measures units.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

We use the triangle with sides 7 and 2 as we do not know the length of side x in the first triangle

In the given triangle, the hypotenuse is the side that is represented by a. The other sides on the triangle measure 7 and 2 units.

Step 2:

So according to the Pythagorean theorem,

Step 3:

Now for the first triangle, the same Pythagorean theorem can be used.

The length of the hypotenuse is and the sides of the triangle are 5 and x.

So

28 can be written as 7 times 4 and the root of 4 is 2 so .

The length of x is

2 pecks

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.