Question

This is a special right triangles multi-step problem. Please explain how to do this and the steps to how you got that answer please!

Answer 1

Answer:

This is an example of a combined 45 45 90 triangle and a 60 30 90 triangle. I have put the pictures showing the side lengths.

Step-by-step explanation:

On the 30 60 90, the hypotenuse is 6.

6 = 2x

x = 3

therefore, the two legs of the triangle are measured as 3 and 3$\sqrt3}$

Now that we have  3$\sqrt3}$ as one of the legs for the other triangle, using the picture of the 45 45 90 triangle, the hypotenuse must be x$\sqrt{2}$.

Since x =  3$\sqrt3x}$,    x$\sqrt{2}$ is 3$\sqrt3}$ x

Therefore x=3$\sqrt{6}$

If this helps you mark me brainliest pls