Question

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

Answer 1

`P=53.6\ units`

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

`P=2(7.8)+2(8)+2(11)=53.6\ units`