In a right angled triangle △ABC\triangle ABC△ABC with ∠C=90∘\angle C=90^\circ∠C=90∘ with r+rA+rB=rC=35r + r_A + r_B = r_C = 35 r+rA+rB=rC=35.
Find the perimeter of △ABC\triangle ABC△ABC.
Details and Assumptions:
rrr is inradius.
rA,rB,rCr_A , r_B , r_CrA,rB,rC are radii of excircles opposite to vertices A,B,CA,B,CA,B,C.