Determine if xy is tangent to circle z

The distance between yz is 5cm.

Tangent is a line that touches the circle and passes through at a touching point.

xy is a tangent line on the circle.

and circle of radius r and center z.

The tangent of the circle and radius of the circle meet at 90 degrees.

Hence, a right-angle triangle is formed so we can apply the Pythagoras theorem.

Let the Length of the line is 4cm

And Radius of the circle is 3cm

Then

Here,

xz = 3 cm

xy = 4 cm

Then

Hence, the distance between yz is 5cm.

More about Tangent on circle link is given below.

link

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4