Question

Line segments XY and ZY are tangent to circle O.

Which kind of triangle must triangle XYZ be?

an equilateral triangle
an isosceles triangle
a scalene triangle
a right triangle

Answer 1

The answer is isosceles

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

Line segments XY and ZY are tangent to circle O.

As we know that " Tangents drawn from the external point to the circle is always equal in length ".

So, by applying this lemma, we get that

XY and ZY are equal.

So, XYZ becomes an isosceles triangle.

Because we know that if two sides of a triangle are equal to each other, then it is known as " Isosceles triangle ".

Hence, Second option is correct.