Respuesta :

Answer:

The correct answer is option D.  48

Step-by-step explanation:

From the figure we can see that, some right angled triangles.

To find the measure of LP

Consider the right angled  triangle LPT,

LT is the hypotenuse, LP = 50 units  (given)

PT = QT = RT = 14 units

From figure we get,

LP² + PT² = LT²²

LP² = LT² - PT²

 = 50² - 14²

 = 2500 - 196

 = 2304

LP =√2304

 = 48

The correct answer is option D.  48

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