candymeups247p4ayj6 candymeups247p4ayj6
  • 17-02-2018
  • Mathematics
contestada

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

Respuesta :

juju147
juju147 juju147
  • 17-02-2018
The answer is isosceles
Answer Link
RenatoMattice RenatoMattice
  • 22-12-2018

Answer: Second option is correct.

Step-by-step 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.

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Answer Link

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