Question

Please help on this math question!!

Answer 1

x = 49

Explanation:

The third side of the largest of the inner triangles:

=
`\sqrt{(7\sqrt{(33)^(2) }- (33)^(2)`

=
`√(528) =√((16)(33)) =4√(33)`

The side that continues next to 33: x -33

Applying similarity property on right triangles:

`(33)/(4√(33) ) =(4√(33) )/(x-33)`

`(33)(x-33)=(4√(33) )^(2)`

`33x-1089=528`

`33x=528+1089`

`x=(528+1089)/(33) =49`

Hope this helps