Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

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 ?

Options:

17 cm

18 cm

12 cm

15 cm

Correct Answer:

18 cm

Explanation:

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