What must be the length of zy in order for zy to be tangent to circle x at point y? 14 units 15 units 16 units 17 units

answer:

15

step-by-step explanation:

answer: second option

step-by-step explanation:

remember the following theorem: "the tangent of a circle is perpendicular to the radius through the point of contact".

then, if the radius is perpendicular to the tangent, the angle formed measures 90° degrees. therefore, the triangle shown in the figure is a right triangle.

knowing this, you can appply the pythagorean theorem to calculate the lenght zy:

where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

in this case:

then you need to substitute values:

and finally you must solve for zy:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

54/3 is 18 so 18 is your answer