Question

Determine the perimeter of triangle AGN.

Answer 1

Answer:

150

Step-by-step explanation:

The perimeter of a triangle is defined or given as the summation of all its 3 sides.

Mathematically,

The perimeter of a Triangle = Side A + Side B + Side C

In the above question, we are to find the perimeter of Triangle AGN.

In the diagram , we have an inscribed circle of RTE

Therefore these values are given in the question.

Side AR = 35

Side RG = 21

Side EN = 19

We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,

Side EG = Side RG = 21

Side TN = Side EN = 19

Side AT = Side AR = 35.

Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG

= 35 + 35 + 19 + 19 + 21 + 21

= 150

The perimeter of Triangle AGN is 150