Question

A circle with centre P is inscribed in the A ABC. Side AB, side BC and side AC touch the circle at points L, M and N respectively. Radius Of the circle is r.Prove that:A( ABC) = 1/2 (AB + BC + AC) xr.

Answer 1

Answer:

Step-by-step explanation:

firstly make a construction I.e divide the bigger triangle into 3 parts

then apply the formula of 1/2 b ×h formula to each triangle

then you ll get three equations ,,.

then add them up

then club them ,remove 1/2 and r common