Given O below, if XY and YZ are congruent, what is the measure of chord XY
![Given O below if XY and YZ are congruent what is the measure of chord XY class=](https://us-static.z-dn.net/files/da0/b81aa8eefa3310de5843148f887b041f.png)
Answer : The value of chord XY is, 10.2 units
Step-by-step explanation :
As we are given that, XY and YZ are congruent.
XY and YZ are congruent by SSA.
The ΔXOY and ΔZOY are congruent triangles.
Side OX = Side OZ (side)
Side OY = Side OY (common side)
∠XOY = ∠ZOY (angle)
That means, in this two sides and one angle of a triangle are equal to another triangle then the triangles are congruent.
So, Side XY = Side YZ
As we are given :
Chord YZ = 10.2
So, Chord YZ = Chord XY = 10.2
Hence, the value of chord XY is, 10.2 units