Question

In the given figure,CA and CB are perpendiculars to CD and CA=DB.Show that

PA=PB.​

Answer 1

Given : CA and DB are perpendiculars to CD and CA=DB

To Find : Show that  PA=PB.​

Solution:

Comparing  

Δ PCA  & ΔPDB

∠PCA = PDB  ( Right angle )

∠CPA = ∠DPB   ( Vertically opposite angles)

CA = DB  ( Given)

=> Δ PCA  ≅ ΔPDB  

=> PA = PQ

QED

Hence proved that

PA = PB

Learn More

A right angled triangle PQR where angle Q is 90degree.if QR =16 ...

https://brainly.in/question/9123359

Three triangles are marked out of a bigger triangle at the three ...

https://brainly.in/question/8018381