Question

Determine if xy is tangent to circle z

Answer 1

Hi there!

When a segment is tangent to a circle, it is perpendicular to the radius. If you're given measurements, like the image below, you can use the pythagorean theorem to determine if the triangle is a right triangle. If the triangle is right, then the segment is tangent to the circle.

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Answer 2

The distance between yz is 5cm.

Tangent on circle

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

Given

xy is a tangent line on the circle.

and circle of radius r and center z.

Step by step explanation

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

$zy^{2} = zx^{2} + yx^{2}$

Here,

xz = 3 cm

xy = 4 cm

Then

$\begin{aligned} yz^{2} &= 3^{2} + 4^{2} \\ yz^{2} &= 9+16\\ yz^{2} &= 25\\ yz &= 5\\ \end{aligned}$

Hence, the distance between yz is 5cm.

More about Tangent on circle link is given below.

https://brainly.com/question/1503247