Angle Bisectors

Question

In △ABC, the bisectors of ∠A, ∠B, and ∠C cut the opposite sides into lengths a1
and a2, b1 and b2, and c1 and c2, respectively, labeled in order counterclockwise
around △ABC. Find the perimeter of △ABC for each set of values.

a. b1 = 16, b2 = 20, c1 = 18 b. a1 = 5/3, a2 = 10/3 , b1 = 15/4

Answer 1

desmos.com/calculator/vxxmwumgcl

For part b:

desmos.com/calculator/gd7ov783j9