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
