Question

In the given figure ∟YXZ = ∟XPZ. If XZ = 8cm, then find YZ · PZ​

Answer 1

PZ

QZ

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Answer 2

Answer:

Given- angle YXZ= angle XPZ , XZ=8cm --(1)

To find- YZ×PZ

Sol- In ∆XYZ and ∆XPZ

angle YXZ= angle XPZ(given)

angle Z = angle Z (common)

∆XYZ similar to ∆XPZ ( by AA)

XZ/PZ= YZ/XZ

XZ×XZ=PZ×YZ

(XZ)^2=PZ×YZ

From (1)

(8)^2 = PZ×YZ

PZ×YZ= 64cm

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