P is the incenter of ΔXYZ. If PY = 35 and JY = 28, find LP.
2 answers:
Answer: The correct option is (D) 21.
Step-by-step explanation: Given that the point P is an incenter of ΔXYZ. Also, PY = 35 and JY = 28.
We are to find the length of LP.
Since PJ is perpendicular to teh side YZ, so the triangle PJY will be a right-angled triangle with PY as the hypotenuse.
Using Pythagoras theorem in triangle PJY, we have
Since the distance from the incenter of a triangle to all the three sides are equal, so we get
LP = PJ = 21 units.
Option (D) is CORRECT.
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