Question

Geometry help needed Use O for exercises 6-8 6. what is the perimeter of triangle abc

Answer 1

Perimeter of triangle ABC is 20 units.

Solution:

The image for reference is attached below.

Given AE = 2, BD = 5 and CF = 3

Two tangents drawn from an external point to a circle are equal in length.

AD = AE, BF = BD and CE = CF

Therefore, AD = 2, BF = 5 and CE = 3

Perimeter of the triangle = sum of the three sides

Perimeter of triangle ABC = AB + BC + CA

                                           = AD + BD + BF + CF + CE + AE

                                           = 2 + 5 + 5 + 3 + 3 + 2

                                           = 20

Hence, perimeter of triangle ABC is 20 units.