Line segment BA is tangent to the circle.

A circle is shown. Secant D B and tangent B A intersect at point B outside of the circle. Secant D B intersects the circle at point C. The length of A B is x, the length of B C is 55, and the length of C D is 120.

What is the length of line segment BA? Round to the nearest unit.

Hence the length of line segment BA as 98 units

Step-by-step explanation:

Given:

BA as tangent to circle ,DB as secant which intersect at point C at circle

Length BC= 55 and CD=120

To Find:

Length of line segment AB.

Solution:

This follows the relationship between tangent and secant  in circle terms as:

Consider as figure such that ,

AB as tangent , DB as secant C be point at circle

So secant total distance = DB=BC+CD =55+120=175

Using formula as ,

We have to find AB

Here BC=55 and CD=120

So nearest unit for length will be 98

Hence the length of line segment BA as 98 units

h/o/e/s mad

step-by-step explanation:

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