Pis the incenter of δxyz. if py = 35 and jy = 28, find lp.
a) 28
b) 35
c) 20
d) 21

21

Step-by-step explanation:

 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.

what's that