Question

Which kind of triangle must triangle XYZ be?

Answer 1

The type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

What is the theorem of two tangents from external point?

When the two tangent are drawn to a circle from an exterior point then according to this theorem-

• The length of these two tangents is equal.
• Both the tangents subtend equal angle at the center of the circle.
• The angle between the two tangent is bisect by the line joining to the exterior point and the center.

The figure of the circle O is attached below. Here, line segments XY and ZY are tangent to the circle.

As both the tangents are drawn from the same point, thus the length of XY and ZY is equal.

$XY=YZ$

When the two sides of a triangle is equal, then it is known as the isosceles triangle.

Thus, the type of triangle XYZ which is made, when the two line segments XY and ZY are tangent to circle, is an isosceles triangle.

Learn more about the theorem of two tangents from external point here;

https://brainly.com/question/8705027

#SPJ1