Answer:
The correct answer is option D. 48
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