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Circle C is inscribed in triangle JEG.

Circle C is inscribed in triangle J E G. Points F, H, and K of the circle are on the sides of the triangle. Point F is on side E G, point H is on side G J, and point K is on side E J. The length of F G is 2 x, the length of G H is 3 x minus 5, the length of E K is x + 5, and the length of K J is x + 5.

What is the perimeter of triangle JEG?

60 units
65 units
70 units
75 units

Respuesta :

Answer:

60 units

Step-by-step explanation:

I found this because i plugged in 5 for each place where it shows an 'x'. Each side added up to 20 which you would multiply by three since there are 3 sides.

The perimeter of the triangle will be A. 60 units

How to solve the triangle?

From the information given, it can be noted that the perimeter of the triangle will be calculated thus:

= 2x + 3x - 5 + x + 5 + x + 5 + 20

= 2(5) + 3(5) - 5 + (5 + 5) + (5 + 5) + 20

= 10 + 10 + 10 + 10 + 20

= 60 units

In conclusion, the perimeter is 60 units.

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