Find the missing lengths: LO=5 and OK=4, find OH and KH.

To provide an accurate response, I need additional context or information regarding the geometrical shapes or figures and the relationships between the points LO, OK, OH, and KH. For instance, if LO and OK are parts of a triangle, a rectangle, or any particular geometric shape, it could change how we calculate OH and KH.

Assuming that LO and OK are parts of a right triangle LOK, with LO as one leg, OK as the other leg, and LOK as the right angle, we can find the length of the hypotenuse OH using the Pythagorean theorem:

Pythagorean theorem states: a² + b² = c²

where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse.

Using the given lengths: LO = 5 (which we could call 'a') and OK = 4 (which we could call 'b')

To find OH (which is 'c'), we would do the following calculation: OH² = LO² + OK² OH² = 5² + 4² OH² = 25 + 16 OH² = 41

To find OH, take the square root of both sides: OH = √41

OH is approximately 6.4 units (rounded to one decimal place).