Find the value of x. round your answer to the nearest tenth.

Hello again! So we will be using the pythagorean theorem () to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.

Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.



Solve the exponents to get 

Subtract 289 on each side to get 

Lastly, square root each side of the equation and your answer should be  (To get more accurate answers, you shouldn't round until the end of the problem)

Nextly, we will need to subtract  from 31. And since there are 2 triangles, you'll need to multiply by 2.



In short, x = 14.0