Using the Pythagorean theorem we can see that x = 33.3
How to find the value of x?
We can decompose the figure into two simpler ones, a rectangle of 7 by 25 units, and a triangle that has:
- A cathetus of 25 units.
- A cathetus of 29 - 7 = 22 units.
- An hypotenuse of x.
The pythagorean theorem tells us that the sum of the squares of the catheti is equal to the square of the hypotenuse, then we can write:
25² + 22² = x²
Solving for x:
x = √(25² + 22²)
x = 33.3