Calculating the distance of the point of intersection of angle bisectors of a triangle to any side.

This is the solution to problem:
In triangle ABC, a = 18, b = 24, and c = 15. How far is the point of intersection of the angular bisectors from the side a?
Statistically, only 58.54% got the correct answer.

[ejaykim]

But how can u be sure po na a circle can be inscribed in that triangle? May mga properties po ba para dyan na kailangan ma tandaan?

[raymonddalida]

pano naman po hanapin yung distance between incenter at vertex?

[nelsonjohncarvero]

Parequest na mn po idol nang tutorial sa surveying yung pong missing data yung missing yung length nang isang course at yung bearing din nang isang course sa dalawang non adjascent courses ang missing at tsaka, yung case rin po na dalawang bearing ang missing nang dalawa ring non adjascent courses. HEHE