In ΔXYZ, P is a point on side YZ and XY = XZ. If ∠XPY = 90 degree and YP = 9 cm, then what is the length of YZ ?
Answer & explanation
Correct answer: option 2
We have,
XY = XZ
∠XPY = 90°
YP = 9 cm
In ΔXPY and ΔXPZ
XY = XZ , XP = XP
∠ XYZ = ∠ XZY
ΔXPY ~ ΔXPZ
YP = PZ = 9 cm
YZ = YP + PZ = 9 + 9
YZ = 18 cm