Question

Find the length of the segment indicated. Round to the nearest tenth if necessary. Note: One segment of each triangle is a tangent line

Answer 1

Given

A circle with a tangent drawn to it forming one side of a triangle

Required

we need to find the diameter of the circle

Step-by-step explanation

clearly it is a right angled triangle as radius through point of contact is perpendicular to the tangent. let the lenght of missing side be d

Therefore

`d^2+12^2=20^2`

or

`d^2=400-144`

or

`d^2=256`

or d=16