Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent. Round to the nearest tenth if necessary.

Find the perimeter of the polygon Assume that lines which appear to be tangent are tangent Round to the nearest tenth if necessary class=

Respuesta :

Answer:

[tex]P=53.6\ units[/tex]

Step-by-step explanation:

we know that

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

Applying the Two-Tangent Theorem at each vertex of the triangle

The perimeter of the triangle is equal to

[tex]P=2(7.8)+2(8)+2(11)=53.6\ units[/tex]