Answer:
65 units
Explanation:
Use the altitude to the hypotenuse theorems.
If an altitude is drawn to the hypotenuse of a triangle, then we are dealing with similar triangles.
We know that the triangle with hypotenuse x and leg 25 is similar to the larger right triangle in the back because they share 2 common angles (a right angle and the angle formed by sides x and 25).
Next, we need to set up a proportion.
x/25 = 169/x because the corresponding sides of similar triangles are proportional.
Next, we must cross multiply to get that x^2 = 169x25
We take the square root of both sides to get 65.
Answer: 65 units